What is the Least Common Multiple of 54978 and 54996?

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 54978 and 54996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54978 and 54996, than apply into the LCM equation.

GCF(54978,54996) = 6
LCM(54978,54996) = ( 54978 × 54996) / 6
LCM(54978,54996) = 3023570088 / 6
LCM(54978,54996) = 503928348

Least Common Multiple (LCM) of 54978 and 54996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54978 and 54996. First we will calculate the prime factors of 54978 and 54996.

Prime Factorization of 54978

Prime Factorization of 54996

Now multiplying the highest exponent prime factors to calculate the LCM of 54978 and 54996.

LCM(54978,54996) = 2² × 3¹ × 7² × 11¹ × 17¹ × 4583¹
LCM(54978,54996) = 503928348