What is the Least Common Multiple of 88845 and 88860?

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 88845 and 88860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88845 and 88860, than apply into the LCM equation.

GCF(88845,88860) = 15
LCM(88845,88860) = ( 88845 × 88860) / 15
LCM(88845,88860) = 7894766700 / 15
LCM(88845,88860) = 526317780

Least Common Multiple (LCM) of 88845 and 88860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88845 and 88860. First we will calculate the prime factors of 88845 and 88860.

Prime Factorization of 88845

Prime Factorization of 88860

Now multiplying the highest exponent prime factors to calculate the LCM of 88845 and 88860.

LCM(88845,88860) = 3¹ × 5¹ × 5923¹ × 2² × 1481¹
LCM(88845,88860) = 526317780