What is the Least Common Multiple of 88900 and 88919?

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 88919 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 88919, than apply into the LCM equation.

GCF(88900,88919) = 1
LCM(88900,88919) = ( 88900 × 88919) / 1
LCM(88900,88919) = 7904899100 / 1
LCM(88900,88919) = 7904899100

Least Common Multiple (LCM) of 88900 and 88919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88900 and 88919. First we will calculate the prime factors of 88900 and 88919.

Prime Factorization of 88900

Prime Factorization of 88919

Now multiplying the highest exponent prime factors to calculate the LCM of 88900 and 88919.

LCM(88900,88919) = 2² × 5² × 7¹ × 127¹ × 88919¹
LCM(88900,88919) = 7904899100