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Least Common Multiple (LCM) of 36 and 140

The least common multiple (LCM) of 36 and 140 is 1260.

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 36 and 140?

First, calculate the GCD of 36 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 140 = 0 remainder 36
2 140 ÷ 36 = 3 remainder 32
3 36 ÷ 32 = 1 remainder 4
4 32 ÷ 4 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
75 and 421050
192 and 1298256
125 and 18823500
158 and 16926702
22 and 1092398

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