What is the Least Common Multiple of 90946 and 90953?

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 90946 and 90953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90946 and 90953, than apply into the LCM equation.

GCF(90946,90953) = 1
LCM(90946,90953) = ( 90946 × 90953) / 1
LCM(90946,90953) = 8271811538 / 1
LCM(90946,90953) = 8271811538

Least Common Multiple (LCM) of 90946 and 90953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90946 and 90953. First we will calculate the prime factors of 90946 and 90953.

Prime Factorization of 90946

Prime Factorization of 90953

Now multiplying the highest exponent prime factors to calculate the LCM of 90946 and 90953.

LCM(90946,90953) = 2¹ × 37¹ × 1229¹ × 19¹ × 4787¹
LCM(90946,90953) = 8271811538