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Least Common Multiple (LCM) of 39 and 98

The least common multiple (LCM) of 39 and 98 is 3822.

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 39 and 98?

First, calculate the GCD of 39 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 39 ÷ 98 = 0 remainder 39
2 98 ÷ 39 = 2 remainder 20
3 39 ÷ 20 = 1 remainder 19
4 20 ÷ 19 = 1 remainder 1
5 19 ÷ 1 = 19 remainder 0

Examples of LCM Calculations

NumbersLCM
158 and 314898
23 and 1262898
135 and 10914715
163 and 14623798
128 and 476016

Try Calculating LCM of Other Numbers







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