HowManyNumbers Logo

Least Common Multiple (LCM) of 107 and 98

The least common multiple (LCM) of 107 and 98 is 10486.

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 107 and 98?

First, calculate the GCD of 107 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 107 ÷ 98 = 1 remainder 9
2 98 ÷ 9 = 10 remainder 8
3 9 ÷ 8 = 1 remainder 1
4 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
180 and 10318540
52 and 60780
183 and 18433672
81 and 836723
105 and 434515

Try Calculating LCM of Other Numbers







Related Calculators