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Least Common Multiple (LCM) of 22 and 142

The least common multiple (LCM) of 22 and 142 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 22 and 142?

First, calculate the GCD of 22 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 22 ÷ 142 = 0 remainder 22
2 142 ÷ 22 = 6 remainder 10
3 22 ÷ 10 = 2 remainder 2
4 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
114 and 18721318
35 and 541890
96 and 1403360
137 and 10213974
88 and 1667304

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