What is the Least Common Multiple of 49512 and 49532?

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 49512 and 49532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49512 and 49532, than apply into the LCM equation.

GCF(49512,49532) = 4
LCM(49512,49532) = ( 49512 × 49532) / 4
LCM(49512,49532) = 2452428384 / 4
LCM(49512,49532) = 613107096

Least Common Multiple (LCM) of 49512 and 49532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49512 and 49532. First we will calculate the prime factors of 49512 and 49532.

Prime Factorization of 49512

Prime Factorization of 49532

Now multiplying the highest exponent prime factors to calculate the LCM of 49512 and 49532.

LCM(49512,49532) = 2³ × 3¹ × 2063¹ × 7¹ × 29¹ × 61¹
LCM(49512,49532) = 613107096