What is the Least Common Multiple of 49584 and 49588?

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 49584 and 49588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49584 and 49588, than apply into the LCM equation.

GCF(49584,49588) = 4
LCM(49584,49588) = ( 49584 × 49588) / 4
LCM(49584,49588) = 2458771392 / 4
LCM(49584,49588) = 614692848

Least Common Multiple (LCM) of 49584 and 49588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49584 and 49588. First we will calculate the prime factors of 49584 and 49588.

Prime Factorization of 49584

Prime Factorization of 49588

Now multiplying the highest exponent prime factors to calculate the LCM of 49584 and 49588.

LCM(49584,49588) = 2⁴ × 3¹ × 1033¹ × 7² × 11¹ × 23¹
LCM(49584,49588) = 614692848