What is the Least Common Multiple of 88920 and 88935?

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 88920 and 88935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88920 and 88935, than apply into the LCM equation.

GCF(88920,88935) = 15
LCM(88920,88935) = ( 88920 × 88935) / 15
LCM(88920,88935) = 7908100200 / 15
LCM(88920,88935) = 527206680

Least Common Multiple (LCM) of 88920 and 88935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88920 and 88935. First we will calculate the prime factors of 88920 and 88935.

Prime Factorization of 88920

Prime Factorization of 88935

Now multiplying the highest exponent prime factors to calculate the LCM of 88920 and 88935.

LCM(88920,88935) = 2³ × 3² × 5¹ × 13¹ × 19¹ × 7² × 11²
LCM(88920,88935) = 527206680