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Least Common Multiple (LCM) of 120 and 19

The least common multiple (LCM) of 120 and 19 is 2280.

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 120 and 19?

First, calculate the GCD of 120 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 120 ÷ 19 = 6 remainder 6
2 19 ÷ 6 = 3 remainder 1
3 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
42 and 1483108
164 and 11518860
124 and 334092
160 and 652080
146 and 15611388

Try Calculating LCM of Other Numbers







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