What is the Least Common Multiple of 54965 and 54978?

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 54965 and 54978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54965 and 54978, than apply into the LCM equation.

GCF(54965,54978) = 1
LCM(54965,54978) = ( 54965 × 54978) / 1
LCM(54965,54978) = 3021865770 / 1
LCM(54965,54978) = 3021865770

Least Common Multiple (LCM) of 54965 and 54978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54965 and 54978. First we will calculate the prime factors of 54965 and 54978.

Prime Factorization of 54965

Prime Factorization of 54978

Now multiplying the highest exponent prime factors to calculate the LCM of 54965 and 54978.

LCM(54965,54978) = 5¹ × 10993¹ × 2¹ × 3¹ × 7² × 11¹ × 17¹
LCM(54965,54978) = 3021865770