What is the Least Common Multiple of 49312 and 49320?

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 49312 and 49320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49312 and 49320, than apply into the LCM equation.

GCF(49312,49320) = 8
LCM(49312,49320) = ( 49312 × 49320) / 8
LCM(49312,49320) = 2432067840 / 8
LCM(49312,49320) = 304008480

Least Common Multiple (LCM) of 49312 and 49320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49312 and 49320. First we will calculate the prime factors of 49312 and 49320.

Prime Factorization of 49312

Prime Factorization of 49320

Now multiplying the highest exponent prime factors to calculate the LCM of 49312 and 49320.

LCM(49312,49320) = 2⁵ × 23¹ × 67¹ × 3² × 5¹ × 137¹
LCM(49312,49320) = 304008480