What is the Least Common Multiple of 88900 and 88920?

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 88900 and 88920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88900 and 88920, than apply into the LCM equation.

GCF(88900,88920) = 20
LCM(88900,88920) = ( 88900 × 88920) / 20
LCM(88900,88920) = 7904988000 / 20
LCM(88900,88920) = 395249400

Least Common Multiple (LCM) of 88900 and 88920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88900 and 88920. First we will calculate the prime factors of 88900 and 88920.

Prime Factorization of 88900

Prime Factorization of 88920

Now multiplying the highest exponent prime factors to calculate the LCM of 88900 and 88920.

LCM(88900,88920) = 2³ × 5² × 7¹ × 127¹ × 3² × 13¹ × 19¹
LCM(88900,88920) = 395249400