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Least Common Multiple (LCM) of 23 and 151

The least common multiple (LCM) of 23 and 151 is 3473.

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 23 and 151?

First, calculate the GCD of 23 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 23 ÷ 151 = 0 remainder 23
2 151 ÷ 23 = 6 remainder 13
3 23 ÷ 13 = 1 remainder 10
4 13 ÷ 10 = 1 remainder 3
5 10 ÷ 3 = 3 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
103 and 11912257
158 and 9114378
13 and 1241612
127 and 13617272
76 and 582204

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