HowManyNumbers Logo

Least Common Multiple (LCM) of 47 and 178

The least common multiple (LCM) of 47 and 178 is 8366.

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 47 and 178?

First, calculate the GCD of 47 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 178 = 0 remainder 47
2 178 ÷ 47 = 3 remainder 37
3 47 ÷ 37 = 1 remainder 10
4 37 ÷ 10 = 3 remainder 7
5 10 ÷ 7 = 1 remainder 3
6 7 ÷ 3 = 2 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 1502850
85 and 181530
33 and 1441584
43 and 723096
40 and 471880

Try Calculating LCM of Other Numbers







Related Calculators