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Least Common Multiple (LCM) of 192 and 70

The least common multiple (LCM) of 192 and 70 is 6720.

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 192 and 70?

First, calculate the GCD of 192 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 192 ÷ 70 = 2 remainder 52
2 70 ÷ 52 = 1 remainder 18
3 52 ÷ 18 = 2 remainder 16
4 18 ÷ 16 = 1 remainder 2
5 16 ÷ 2 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
136 and 13718632
77 and 1681848
194 and 262522
44 and 1697436
113 and 343842

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