What is the Least Common Multiple of 49600 and 49608?

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 49600 and 49608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49600 and 49608, than apply into the LCM equation.

GCF(49600,49608) = 8
LCM(49600,49608) = ( 49600 × 49608) / 8
LCM(49600,49608) = 2460556800 / 8
LCM(49600,49608) = 307569600

Least Common Multiple (LCM) of 49600 and 49608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49600 and 49608. First we will calculate the prime factors of 49600 and 49608.

Prime Factorization of 49600

Prime Factorization of 49608

Now multiplying the highest exponent prime factors to calculate the LCM of 49600 and 49608.

LCM(49600,49608) = 2⁶ × 5² × 31¹ × 3² × 13¹ × 53¹
LCM(49600,49608) = 307569600