What is the Least Common Multiple of 88560 and 88578?

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 88560 and 88578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88560 and 88578, than apply into the LCM equation.

GCF(88560,88578) = 18
LCM(88560,88578) = ( 88560 × 88578) / 18
LCM(88560,88578) = 7844467680 / 18
LCM(88560,88578) = 435803760

Least Common Multiple (LCM) of 88560 and 88578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88560 and 88578. First we will calculate the prime factors of 88560 and 88578.

Prime Factorization of 88560

Prime Factorization of 88578

Now multiplying the highest exponent prime factors to calculate the LCM of 88560 and 88578.

LCM(88560,88578) = 2⁴ × 3³ × 5¹ × 41¹ × 7¹ × 19¹ × 37¹
LCM(88560,88578) = 435803760