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Least Common Multiple (LCM) of 151 and 97

The least common multiple (LCM) of 151 and 97 is 14647.

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 151 and 97?

First, calculate the GCD of 151 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 151 ÷ 97 = 1 remainder 54
2 97 ÷ 54 = 1 remainder 43
3 54 ÷ 43 = 1 remainder 11
4 43 ÷ 11 = 3 remainder 10
5 11 ÷ 10 = 1 remainder 1
6 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 130390
73 and 18113213
103 and 19319879
38 and 1542926
54 and 1102970

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