What is the Least Common Multiple of 90921 and 90938?

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 90921 and 90938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90921 and 90938, than apply into the LCM equation.

GCF(90921,90938) = 1
LCM(90921,90938) = ( 90921 × 90938) / 1
LCM(90921,90938) = 8268173898 / 1
LCM(90921,90938) = 8268173898

Least Common Multiple (LCM) of 90921 and 90938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90921 and 90938. First we will calculate the prime factors of 90921 and 90938.

Prime Factorization of 90921

Prime Factorization of 90938

Now multiplying the highest exponent prime factors to calculate the LCM of 90921 and 90938.

LCM(90921,90938) = 3¹ × 30307¹ × 2¹ × 41¹ × 1109¹
LCM(90921,90938) = 8268173898