What is the Least Common Multiple of 45720 and 45738?

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 45720 and 45738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45720 and 45738, than apply into the LCM equation.

GCF(45720,45738) = 18
LCM(45720,45738) = ( 45720 × 45738) / 18
LCM(45720,45738) = 2091141360 / 18
LCM(45720,45738) = 116174520

Least Common Multiple (LCM) of 45720 and 45738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45720 and 45738. First we will calculate the prime factors of 45720 and 45738.

Prime Factorization of 45720

Prime Factorization of 45738

Now multiplying the highest exponent prime factors to calculate the LCM of 45720 and 45738.

LCM(45720,45738) = 2³ × 3³ × 5¹ × 127¹ × 7¹ × 11²
LCM(45720,45738) = 116174520