What is the Least Common Multiple of 45732 and 45750?

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 45732 and 45750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45732 and 45750, than apply into the LCM equation.

GCF(45732,45750) = 6
LCM(45732,45750) = ( 45732 × 45750) / 6
LCM(45732,45750) = 2092239000 / 6
LCM(45732,45750) = 348706500

Least Common Multiple (LCM) of 45732 and 45750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45732 and 45750. First we will calculate the prime factors of 45732 and 45750.

Prime Factorization of 45732

Prime Factorization of 45750

Now multiplying the highest exponent prime factors to calculate the LCM of 45732 and 45750.

LCM(45732,45750) = 2² × 3¹ × 37¹ × 103¹ × 5³ × 61¹
LCM(45732,45750) = 348706500