What is the Least Common Multiple of 51750 and 51765?

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 51765 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 51765, than apply into the LCM equation.

GCF(51750,51765) = 15
LCM(51750,51765) = ( 51750 × 51765) / 15
LCM(51750,51765) = 2678838750 / 15
LCM(51750,51765) = 178589250

Least Common Multiple (LCM) of 51750 and 51765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51750 and 51765. First we will calculate the prime factors of 51750 and 51765.

Prime Factorization of 51750

Prime Factorization of 51765

Now multiplying the highest exponent prime factors to calculate the LCM of 51750 and 51765.

LCM(51750,51765) = 2¹ × 3² × 5³ × 23¹ × 7¹ × 17¹ × 29¹
LCM(51750,51765) = 178589250