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Least Common Multiple (LCM) of 18 and 141

The least common multiple (LCM) of 18 and 141 is 846.

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 18 and 141?

First, calculate the GCD of 18 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 141 = 0 remainder 18
2 141 ÷ 18 = 7 remainder 15
3 18 ÷ 15 = 1 remainder 3
4 15 ÷ 3 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 18360
136 and 1083672
123 and 354305
180 and 75900
185 and 16931265

Try Calculating LCM of Other Numbers







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