What is the Least Common Multiple of 90972 and 90978?

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 90978 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 90978, than apply into the LCM equation.

GCF(90972,90978) = 6
LCM(90972,90978) = ( 90972 × 90978) / 6
LCM(90972,90978) = 8276450616 / 6
LCM(90972,90978) = 1379408436

Least Common Multiple (LCM) of 90972 and 90978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90972 and 90978. First we will calculate the prime factors of 90972 and 90978.

Prime Factorization of 90972

Prime Factorization of 90978

Now multiplying the highest exponent prime factors to calculate the LCM of 90972 and 90978.

LCM(90972,90978) = 2² × 3² × 7¹ × 19² × 59¹ × 257¹
LCM(90972,90978) = 1379408436