What is the Least Common Multiple of 45633 and 45640?

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 45633 and 45640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45633 and 45640, than apply into the LCM equation.

GCF(45633,45640) = 7
LCM(45633,45640) = ( 45633 × 45640) / 7
LCM(45633,45640) = 2082690120 / 7
LCM(45633,45640) = 297527160

Least Common Multiple (LCM) of 45633 and 45640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45633 and 45640. First we will calculate the prime factors of 45633 and 45640.

Prime Factorization of 45633

Prime Factorization of 45640

Now multiplying the highest exponent prime factors to calculate the LCM of 45633 and 45640.

LCM(45633,45640) = 3¹ × 7¹ × 41¹ × 53¹ × 2³ × 5¹ × 163¹
LCM(45633,45640) = 297527160