What is the Least Common Multiple of 45456 and 45460?

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 45456 and 45460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45456 and 45460, than apply into the LCM equation.

GCF(45456,45460) = 4
LCM(45456,45460) = ( 45456 × 45460) / 4
LCM(45456,45460) = 2066429760 / 4
LCM(45456,45460) = 516607440

Least Common Multiple (LCM) of 45456 and 45460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45456 and 45460. First we will calculate the prime factors of 45456 and 45460.

Prime Factorization of 45456

Prime Factorization of 45460

Now multiplying the highest exponent prime factors to calculate the LCM of 45456 and 45460.

LCM(45456,45460) = 2⁴ × 3¹ × 947¹ × 5¹ × 2273¹
LCM(45456,45460) = 516607440