What is the Least Common Multiple of 54609 and 54625?

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 54609 and 54625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54609 and 54625, than apply into the LCM equation.

GCF(54609,54625) = 1
LCM(54609,54625) = ( 54609 × 54625) / 1
LCM(54609,54625) = 2983016625 / 1
LCM(54609,54625) = 2983016625

Least Common Multiple (LCM) of 54609 and 54625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54609 and 54625. First we will calculate the prime factors of 54609 and 54625.

Prime Factorization of 54609

Prime Factorization of 54625

Now multiplying the highest exponent prime factors to calculate the LCM of 54609 and 54625.

LCM(54609,54625) = 3¹ × 109¹ × 167¹ × 5³ × 19¹ × 23¹
LCM(54609,54625) = 2983016625