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Least Common Multiple (LCM) of 62 and 133

The least common multiple (LCM) of 62 and 133 is 8246.

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 62 and 133?

First, calculate the GCD of 62 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 62 ÷ 133 = 0 remainder 62
2 133 ÷ 62 = 2 remainder 9
3 62 ÷ 9 = 6 remainder 8
4 9 ÷ 8 = 1 remainder 1
5 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
71 and 1158165
104 and 1724472
53 and 613233
40 and 592360
106 and 442332

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