What is the Least Common Multiple of 49588 and 49600?

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 49588 and 49600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49588 and 49600, than apply into the LCM equation.

GCF(49588,49600) = 4
LCM(49588,49600) = ( 49588 × 49600) / 4
LCM(49588,49600) = 2459564800 / 4
LCM(49588,49600) = 614891200

Least Common Multiple (LCM) of 49588 and 49600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49588 and 49600. First we will calculate the prime factors of 49588 and 49600.

Prime Factorization of 49588

Prime Factorization of 49600

Now multiplying the highest exponent prime factors to calculate the LCM of 49588 and 49600.

LCM(49588,49600) = 2⁶ × 7² × 11¹ × 23¹ × 5² × 31¹
LCM(49588,49600) = 614891200