What is the Least Common Multiple of 45738 and 45756?

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 45756 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 45756, than apply into the LCM equation.

GCF(45738,45756) = 18
LCM(45738,45756) = ( 45738 × 45756) / 18
LCM(45738,45756) = 2092787928 / 18
LCM(45738,45756) = 116265996

Least Common Multiple (LCM) of 45738 and 45756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45738 and 45756. First we will calculate the prime factors of 45738 and 45756.

Prime Factorization of 45738

Prime Factorization of 45756

Now multiplying the highest exponent prime factors to calculate the LCM of 45738 and 45756.

LCM(45738,45756) = 2² × 3³ × 7¹ × 11² × 31¹ × 41¹
LCM(45738,45756) = 116265996