What is the Least Common Multiple of 90963 and 90972?

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 90963 and 90972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90963 and 90972, than apply into the LCM equation.

GCF(90963,90972) = 9
LCM(90963,90972) = ( 90963 × 90972) / 9
LCM(90963,90972) = 8275086036 / 9
LCM(90963,90972) = 919454004

Least Common Multiple (LCM) of 90963 and 90972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90963 and 90972. First we will calculate the prime factors of 90963 and 90972.

Prime Factorization of 90963

Prime Factorization of 90972

Now multiplying the highest exponent prime factors to calculate the LCM of 90963 and 90972.

LCM(90963,90972) = 3⁴ × 1123¹ × 2² × 7¹ × 19²
LCM(90963,90972) = 919454004