What is the Least Common Multiple of 49504 and 49512?

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 49504 and 49512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49504 and 49512, than apply into the LCM equation.

GCF(49504,49512) = 8
LCM(49504,49512) = ( 49504 × 49512) / 8
LCM(49504,49512) = 2451042048 / 8
LCM(49504,49512) = 306380256

Least Common Multiple (LCM) of 49504 and 49512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49504 and 49512. First we will calculate the prime factors of 49504 and 49512.

Prime Factorization of 49504

Prime Factorization of 49512

Now multiplying the highest exponent prime factors to calculate the LCM of 49504 and 49512.

LCM(49504,49512) = 2⁵ × 7¹ × 13¹ × 17¹ × 3¹ × 2063¹
LCM(49504,49512) = 306380256