What is the Least Common Multiple of 86880 and 86900?

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 86880 and 86900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86880 and 86900, than apply into the LCM equation.

GCF(86880,86900) = 20
LCM(86880,86900) = ( 86880 × 86900) / 20
LCM(86880,86900) = 7549872000 / 20
LCM(86880,86900) = 377493600

Least Common Multiple (LCM) of 86880 and 86900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86880 and 86900. First we will calculate the prime factors of 86880 and 86900.

Prime Factorization of 86880

Prime Factorization of 86900

Now multiplying the highest exponent prime factors to calculate the LCM of 86880 and 86900.

LCM(86880,86900) = 2⁵ × 3¹ × 5² × 181¹ × 11¹ × 79¹
LCM(86880,86900) = 377493600