What is the Least Common Multiple of 51748 and 51752?

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 51748 and 51752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51748 and 51752, than apply into the LCM equation.

GCF(51748,51752) = 4
LCM(51748,51752) = ( 51748 × 51752) / 4
LCM(51748,51752) = 2678062496 / 4
LCM(51748,51752) = 669515624

Least Common Multiple (LCM) of 51748 and 51752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51748 and 51752. First we will calculate the prime factors of 51748 and 51752.

Prime Factorization of 51748

Prime Factorization of 51752

Now multiplying the highest exponent prime factors to calculate the LCM of 51748 and 51752.

LCM(51748,51752) = 2³ × 17¹ × 761¹ × 6469¹
LCM(51748,51752) = 669515624