What is the Least Common Multiple of 90972 and 90986?

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 90972 and 90986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90972 and 90986, than apply into the LCM equation.

GCF(90972,90986) = 14
LCM(90972,90986) = ( 90972 × 90986) / 14
LCM(90972,90986) = 8277178392 / 14
LCM(90972,90986) = 591227028

Least Common Multiple (LCM) of 90972 and 90986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90972 and 90986. First we will calculate the prime factors of 90972 and 90986.

Prime Factorization of 90972

Prime Factorization of 90986

Now multiplying the highest exponent prime factors to calculate the LCM of 90972 and 90986.

LCM(90972,90986) = 2² × 3² × 7¹ × 19² × 67¹ × 97¹
LCM(90972,90986) = 591227028