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Least Common Multiple (LCM) of 140 and 48

The least common multiple (LCM) of 140 and 48 is 1680.

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 140 and 48?

First, calculate the GCD of 140 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 48 = 2 remainder 44
2 48 ÷ 44 = 1 remainder 4
3 44 ÷ 4 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
52 and 1642132
180 and 961440
185 and 488880
65 and 1365
19 and 43817

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