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Least Common Multiple (LCM) of 70 and 43

The least common multiple (LCM) of 70 and 43 is 3010.

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 43?

First, calculate the GCD of 70 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 43 = 1 remainder 27
2 43 ÷ 27 = 1 remainder 16
3 27 ÷ 16 = 1 remainder 11
4 16 ÷ 11 = 1 remainder 5
5 11 ÷ 5 = 2 remainder 1
6 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
32 and 1173744
45 and 1546930
135 and 11815930
99 and 565544
193 and 407720

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