Calculate the Least Common Multiple (LCM) of two positive integers. The LCM is the smallest positive integer that is divisible by both numbers. Use the relationship LCM(a,b) = (a * b) / GCD(a,b) where GCD is the Greatest Common Divisor. Return null for invalid inputs (negative numbers, zero, or null).

Examples:

Input: a = 4, b = 6 Output: 12 Explanation: 12 is the smallest number divisible by both 4 and 6 Input: a = 3, b = 5 Output: 15 Explanation: 3 and 5 are coprime, so LCM is their product Input: a = 12, b = 18 Output: 36 Explanation: GCD(12, 18) = 6, so LCM = (12 * 18) / 6 = 36 Input: a = 7, b = 7 Output: 7 Explanation: LCM of identical numbers is the number itself Input: a = 0, b = 5 Output: null Explanation: Zero is invalid input
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