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Least Common Multiple (LCM) of 110 and 97

The least common multiple (LCM) of 110 and 97 is 10670.

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 110 and 97?

First, calculate the GCD of 110 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 110 ÷ 97 = 1 remainder 13
2 97 ÷ 13 = 7 remainder 6
3 13 ÷ 6 = 2 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
97 and 17116587
176 and 44176
100 and 824100
50 and 1263150
41 and 1144674

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