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Least Common Multiple (LCM) of 70 and 149

The least common multiple (LCM) of 70 and 149 is 10430.

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 149?

First, calculate the GCD of 70 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 149 = 0 remainder 70
2 149 ÷ 70 = 2 remainder 9
3 70 ÷ 9 = 7 remainder 7
4 9 ÷ 7 = 1 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
166 and 16126726
83 and 867138
165 and 589570
95 and 11811210
110 and 11913090

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