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Least Common Multiple (LCM) of 153 and 80

The least common multiple (LCM) of 153 and 80 is 12240.

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 153 and 80?

First, calculate the GCD of 153 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 80 = 1 remainder 73
2 80 ÷ 73 = 1 remainder 7
3 73 ÷ 7 = 10 remainder 3
4 7 ÷ 3 = 2 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
12 and 71852
46 and 1436578
88 and 494312
82 and 897298
92 and 19517940

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