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Least Common Multiple (LCM) of 70 and 84

The least common multiple (LCM) of 70 and 84 is 420.

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 84?

First, calculate the GCD of 70 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 84 = 0 remainder 70
2 84 ÷ 70 = 1 remainder 14
3 70 ÷ 14 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
29 and 391131
60 and 78780
90 and 522340
82 and 856970
112 and 1201680

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