What is the Least Common Multiple of 45795 and 45812?

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 45795 and 45812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45795 and 45812, than apply into the LCM equation.

GCF(45795,45812) = 1
LCM(45795,45812) = ( 45795 × 45812) / 1
LCM(45795,45812) = 2097960540 / 1
LCM(45795,45812) = 2097960540

Least Common Multiple (LCM) of 45795 and 45812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45795 and 45812. First we will calculate the prime factors of 45795 and 45812.

Prime Factorization of 45795

Prime Factorization of 45812

Now multiplying the highest exponent prime factors to calculate the LCM of 45795 and 45812.

LCM(45795,45812) = 3¹ × 5¹ × 43¹ × 71¹ × 2² × 13¹ × 881¹
LCM(45795,45812) = 2097960540