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Least Common Multiple (LCM) of 156 and 23

The least common multiple (LCM) of 156 and 23 is 3588.

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 156 and 23?

First, calculate the GCD of 156 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 156 ÷ 23 = 6 remainder 18
2 23 ÷ 18 = 1 remainder 5
3 18 ÷ 5 = 3 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
32 and 13416
119 and 19022610
82 and 1867626
53 and 231219
54 and 1141026

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