What is the Least Common Multiple of 88884 and 88900?

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 88884 and 88900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88884 and 88900, than apply into the LCM equation.

GCF(88884,88900) = 4
LCM(88884,88900) = ( 88884 × 88900) / 4
LCM(88884,88900) = 7901787600 / 4
LCM(88884,88900) = 1975446900

Least Common Multiple (LCM) of 88884 and 88900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88884 and 88900. First we will calculate the prime factors of 88884 and 88900.

Prime Factorization of 88884

Prime Factorization of 88900

Now multiplying the highest exponent prime factors to calculate the LCM of 88884 and 88900.

LCM(88884,88900) = 2² × 3³ × 823¹ × 5² × 7¹ × 127¹
LCM(88884,88900) = 1975446900