What is the Least Common Multiple of 47604 and 47616?

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 47604 and 47616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47604 and 47616, than apply into the LCM equation.

GCF(47604,47616) = 12
LCM(47604,47616) = ( 47604 × 47616) / 12
LCM(47604,47616) = 2266712064 / 12
LCM(47604,47616) = 188892672

Least Common Multiple (LCM) of 47604 and 47616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47604 and 47616. First we will calculate the prime factors of 47604 and 47616.

Prime Factorization of 47604

Prime Factorization of 47616

Now multiplying the highest exponent prime factors to calculate the LCM of 47604 and 47616.

LCM(47604,47616) = 2⁹ × 3¹ × 3967¹ × 31¹
LCM(47604,47616) = 188892672