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Least Common Multiple (LCM) of 70 and 103

The least common multiple (LCM) of 70 and 103 is 7210.

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 70 and 103?

First, calculate the GCD of 70 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 103 = 0 remainder 70
2 103 ÷ 70 = 1 remainder 33
3 70 ÷ 33 = 2 remainder 4
4 33 ÷ 4 = 8 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
122 and 19523790
108 and 1065724
108 and 743996
51 and 1376987
61 and 1418601

Try Calculating LCM of Other Numbers







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