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Least Common Multiple (LCM) of 49 and 52

The least common multiple (LCM) of 49 and 52 is 2548.

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 49 and 52?

First, calculate the GCD of 49 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 52 = 0 remainder 49
2 52 ÷ 49 = 1 remainder 3
3 49 ÷ 3 = 16 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
149 and 16023840
192 and 1844416
120 and 200600
56 and 64448
169 and 508450

Try Calculating LCM of Other Numbers







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