What is the Least Common Multiple of 54978 and 54989?

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 54989 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 54989, than apply into the LCM equation.

GCF(54978,54989) = 11
LCM(54978,54989) = ( 54978 × 54989) / 11
LCM(54978,54989) = 3023185242 / 11
LCM(54978,54989) = 274835022

Least Common Multiple (LCM) of 54978 and 54989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54978 and 54989. First we will calculate the prime factors of 54978 and 54989.

Prime Factorization of 54978

Prime Factorization of 54989

Now multiplying the highest exponent prime factors to calculate the LCM of 54978 and 54989.

LCM(54978,54989) = 2¹ × 3¹ × 7² × 11¹ × 17¹ × 4999¹
LCM(54978,54989) = 274835022