What is the Least Common Multiple of 90948 and 90962?

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 90948 and 90962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90948 and 90962, than apply into the LCM equation.

GCF(90948,90962) = 2
LCM(90948,90962) = ( 90948 × 90962) / 2
LCM(90948,90962) = 8272811976 / 2
LCM(90948,90962) = 4136405988

Least Common Multiple (LCM) of 90948 and 90962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90948 and 90962. First we will calculate the prime factors of 90948 and 90962.

Prime Factorization of 90948

Prime Factorization of 90962

Now multiplying the highest exponent prime factors to calculate the LCM of 90948 and 90962.

LCM(90948,90962) = 2² × 3¹ × 11¹ × 13¹ × 53¹ × 45481¹
LCM(90948,90962) = 4136405988