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Least Common Multiple (LCM) of 167 and 76

The least common multiple (LCM) of 167 and 76 is 12692.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 167 and 76?

First, calculate the GCD of 167 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 167 ÷ 76 = 2 remainder 15
2 76 ÷ 15 = 5 remainder 1
3 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
152 and 19930248
59 and 1669794
176 and 17931504
92 and 1764048
40 and 1475880

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