What is the Least Common Multiple of 51750 and 51759?

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 51750 and 51759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51750 and 51759, than apply into the LCM equation.

GCF(51750,51759) = 9
LCM(51750,51759) = ( 51750 × 51759) / 9
LCM(51750,51759) = 2678528250 / 9
LCM(51750,51759) = 297614250

Least Common Multiple (LCM) of 51750 and 51759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51750 and 51759. First we will calculate the prime factors of 51750 and 51759.

Prime Factorization of 51750

Prime Factorization of 51759

Now multiplying the highest exponent prime factors to calculate the LCM of 51750 and 51759.

LCM(51750,51759) = 2¹ × 3⁶ × 5³ × 23¹ × 71¹
LCM(51750,51759) = 297614250