What is the Least Common Multiple of 45348 and 45360?

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 45348 and 45360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45348 and 45360, than apply into the LCM equation.

GCF(45348,45360) = 12
LCM(45348,45360) = ( 45348 × 45360) / 12
LCM(45348,45360) = 2056985280 / 12
LCM(45348,45360) = 171415440

Least Common Multiple (LCM) of 45348 and 45360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45348 and 45360. First we will calculate the prime factors of 45348 and 45360.

Prime Factorization of 45348

Prime Factorization of 45360

Now multiplying the highest exponent prime factors to calculate the LCM of 45348 and 45360.

LCM(45348,45360) = 2⁴ × 3⁴ × 3779¹ × 5¹ × 7¹
LCM(45348,45360) = 171415440