What is the Least Common Multiple of 54606 and 54616?

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 54606 and 54616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54606 and 54616, than apply into the LCM equation.

GCF(54606,54616) = 2
LCM(54606,54616) = ( 54606 × 54616) / 2
LCM(54606,54616) = 2982361296 / 2
LCM(54606,54616) = 1491180648

Least Common Multiple (LCM) of 54606 and 54616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54606 and 54616. First we will calculate the prime factors of 54606 and 54616.

Prime Factorization of 54606

Prime Factorization of 54616

Now multiplying the highest exponent prime factors to calculate the LCM of 54606 and 54616.

LCM(54606,54616) = 2³ × 3¹ × 19¹ × 479¹ × 6827¹
LCM(54606,54616) = 1491180648