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Least Common Multiple (LCM) of 142 and 11

The least common multiple (LCM) of 142 and 11 is 1562.

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 142 and 11?

First, calculate the GCD of 142 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 142 ÷ 11 = 12 remainder 10
2 11 ÷ 10 = 1 remainder 1
3 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
39 and 622418
28 and 1021428
40 and 621240
30 and 972910
62 and 493038

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