What is the Least Common Multiple of 49578 and 49584?

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 49578 and 49584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49578 and 49584, than apply into the LCM equation.

GCF(49578,49584) = 6
LCM(49578,49584) = ( 49578 × 49584) / 6
LCM(49578,49584) = 2458275552 / 6
LCM(49578,49584) = 409712592

Least Common Multiple (LCM) of 49578 and 49584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49578 and 49584. First we will calculate the prime factors of 49578 and 49584.

Prime Factorization of 49578

Prime Factorization of 49584

Now multiplying the highest exponent prime factors to calculate the LCM of 49578 and 49584.

LCM(49578,49584) = 2⁴ × 3¹ × 8263¹ × 1033¹
LCM(49578,49584) = 409712592