What is the Least Common Multiple of 90888 and 90903?

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 90888 and 90903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90888 and 90903, than apply into the LCM equation.

GCF(90888,90903) = 3
LCM(90888,90903) = ( 90888 × 90903) / 3
LCM(90888,90903) = 8261991864 / 3
LCM(90888,90903) = 2753997288

Least Common Multiple (LCM) of 90888 and 90903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90888 and 90903. First we will calculate the prime factors of 90888 and 90903.

Prime Factorization of 90888

Prime Factorization of 90903

Now multiplying the highest exponent prime factors to calculate the LCM of 90888 and 90903.

LCM(90888,90903) = 2³ × 3¹ × 7¹ × 541¹ × 157¹ × 193¹
LCM(90888,90903) = 2753997288