What is the Least Common Multiple of 57600 and 57608?

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 57600 and 57608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57600 and 57608, than apply into the LCM equation.

GCF(57600,57608) = 8
LCM(57600,57608) = ( 57600 × 57608) / 8
LCM(57600,57608) = 3318220800 / 8
LCM(57600,57608) = 414777600

Least Common Multiple (LCM) of 57600 and 57608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57600 and 57608. First we will calculate the prime factors of 57600 and 57608.

Prime Factorization of 57600

Prime Factorization of 57608

Now multiplying the highest exponent prime factors to calculate the LCM of 57600 and 57608.

LCM(57600,57608) = 2⁸ × 3² × 5² × 19¹ × 379¹
LCM(57600,57608) = 414777600