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Least Common Multiple (LCM) of 157 and 110

The least common multiple (LCM) of 157 and 110 is 17270.

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 157 and 110?

First, calculate the GCD of 157 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 157 ÷ 110 = 1 remainder 47
2 110 ÷ 47 = 2 remainder 16
3 47 ÷ 16 = 2 remainder 15
4 16 ÷ 15 = 1 remainder 1
5 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 1077811
134 and 10714338
104 and 1644264
144 and 561008
179 and 152685

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