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Least Common Multiple (LCM) of 143 and 76

The least common multiple (LCM) of 143 and 76 is 10868.

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 143 and 76?

First, calculate the GCD of 143 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 143 ÷ 76 = 1 remainder 67
2 76 ÷ 67 = 1 remainder 9
3 67 ÷ 9 = 7 remainder 4
4 9 ÷ 4 = 2 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
54 and 12108
101 and 12412524
166 and 9916434
85 and 12810880
103 and 565768

Try Calculating LCM of Other Numbers







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