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Least Common Multiple (LCM) of 142 and 49

The least common multiple (LCM) of 142 and 49 is 6958.

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 49?

First, calculate the GCD of 142 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 142 ÷ 49 = 2 remainder 44
2 49 ÷ 44 = 1 remainder 5
3 44 ÷ 5 = 8 remainder 4
4 5 ÷ 4 = 1 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
94 and 656110
135 and 19926865
142 and 14320306
129 and 111419
43 and 592537

Try Calculating LCM of Other Numbers







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