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Least Common Multiple (LCM) of 38 and 62

The least common multiple (LCM) of 38 and 62 is 1178.

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 38 and 62?

First, calculate the GCD of 38 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 38 ÷ 62 = 0 remainder 38
2 62 ÷ 38 = 1 remainder 24
3 38 ÷ 24 = 1 remainder 14
4 24 ÷ 14 = 1 remainder 10
5 14 ÷ 10 = 1 remainder 4
6 10 ÷ 4 = 2 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
77 and 614697
163 and 16627058
113 and 364068
110 and 382090
196 and 147588

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