What is the Least Common Multiple of 4608 and 4625?

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 4608 and 4625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4608 and 4625, than apply into the LCM equation.

GCF(4608,4625) = 1
LCM(4608,4625) = ( 4608 × 4625) / 1
LCM(4608,4625) = 21312000 / 1
LCM(4608,4625) = 21312000

Least Common Multiple (LCM) of 4608 and 4625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4608 and 4625. First we will calculate the prime factors of 4608 and 4625.

Prime Factorization of 4608

Prime Factorization of 4625

Now multiplying the highest exponent prime factors to calculate the LCM of 4608 and 4625.

LCM(4608,4625) = 2⁹ × 3² × 5³ × 37¹
LCM(4608,4625) = 21312000