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Least Common Multiple (LCM) of 37 and 119

The least common multiple (LCM) of 37 and 119 is 4403.

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 37 and 119?

First, calculate the GCD of 37 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 37 ÷ 119 = 0 remainder 37
2 119 ÷ 37 = 3 remainder 8
3 37 ÷ 8 = 4 remainder 5
4 8 ÷ 5 = 1 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
171 and 1055985
34 and 27918
112 and 18520720
132 and 618052
29 and 1684872

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