What is the Least Common Multiple of 52745 and 52750?

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 52745 and 52750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52745 and 52750, than apply into the LCM equation.

GCF(52745,52750) = 5
LCM(52745,52750) = ( 52745 × 52750) / 5
LCM(52745,52750) = 2782298750 / 5
LCM(52745,52750) = 556459750

Least Common Multiple (LCM) of 52745 and 52750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52745 and 52750. First we will calculate the prime factors of 52745 and 52750.

Prime Factorization of 52745

Prime Factorization of 52750

Now multiplying the highest exponent prime factors to calculate the LCM of 52745 and 52750.

LCM(52745,52750) = 5³ × 7¹ × 11¹ × 137¹ × 2¹ × 211¹
LCM(52745,52750) = 556459750