What is the Least Common Multiple of 10870 and 10882?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 10870 and 10882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10870 and 10882, than apply into the LCM equation.

GCF(10870,10882) = 2
LCM(10870,10882) = ( 10870 × 10882) / 2
LCM(10870,10882) = 118287340 / 2
LCM(10870,10882) = 59143670

Least Common Multiple (LCM) of 10870 and 10882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10870 and 10882. First we will calculate the prime factors of 10870 and 10882.

Prime Factorization of 10870

Prime Factorization of 10882

Now multiplying the highest exponent prime factors to calculate the LCM of 10870 and 10882.

LCM(10870,10882) = 2¹ × 5¹ × 1087¹ × 5441¹
LCM(10870,10882) = 59143670