What is the Least Common Multiple of 45738 and 45751?

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 45738 and 45751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45738 and 45751, than apply into the LCM equation.

GCF(45738,45751) = 1
LCM(45738,45751) = ( 45738 × 45751) / 1
LCM(45738,45751) = 2092559238 / 1
LCM(45738,45751) = 2092559238

Least Common Multiple (LCM) of 45738 and 45751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45738 and 45751. First we will calculate the prime factors of 45738 and 45751.

Prime Factorization of 45738

Prime Factorization of 45751

Now multiplying the highest exponent prime factors to calculate the LCM of 45738 and 45751.

LCM(45738,45751) = 2¹ × 3³ × 7¹ × 11² × 45751¹
LCM(45738,45751) = 2092559238