What is the Least Common Multiple of 90966 and 90970?

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 90966 and 90970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90966 and 90970, than apply into the LCM equation.

GCF(90966,90970) = 2
LCM(90966,90970) = ( 90966 × 90970) / 2
LCM(90966,90970) = 8275177020 / 2
LCM(90966,90970) = 4137588510

Least Common Multiple (LCM) of 90966 and 90970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90966 and 90970. First we will calculate the prime factors of 90966 and 90970.

Prime Factorization of 90966

Prime Factorization of 90970

Now multiplying the highest exponent prime factors to calculate the LCM of 90966 and 90970.

LCM(90966,90970) = 2¹ × 3¹ × 15161¹ × 5¹ × 11¹ × 827¹
LCM(90966,90970) = 4137588510