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Least Common Multiple (LCM) of 49 and 56

The least common multiple (LCM) of 49 and 56 is 392.

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 56?

First, calculate the GCD of 49 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 56 = 0 remainder 49
2 56 ÷ 49 = 1 remainder 7
3 49 ÷ 7 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
54 and 1111998
101 and 828282
18 and 1161044
100 and 851700
144 and 12518000

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