What is the Least Common Multiple of 90931 and 90948?

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 90931 and 90948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90931 and 90948, than apply into the LCM equation.

GCF(90931,90948) = 1
LCM(90931,90948) = ( 90931 × 90948) / 1
LCM(90931,90948) = 8269992588 / 1
LCM(90931,90948) = 8269992588

Least Common Multiple (LCM) of 90931 and 90948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90931 and 90948. First we will calculate the prime factors of 90931 and 90948.

Prime Factorization of 90931

Prime Factorization of 90948

Now multiplying the highest exponent prime factors to calculate the LCM of 90931 and 90948.

LCM(90931,90948) = 90931¹ × 2² × 3¹ × 11¹ × 13¹ × 53¹
LCM(90931,90948) = 8269992588