What is the Least Common Multiple of 45315 and 45328?

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 45315 and 45328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45315 and 45328, than apply into the LCM equation.

GCF(45315,45328) = 1
LCM(45315,45328) = ( 45315 × 45328) / 1
LCM(45315,45328) = 2054038320 / 1
LCM(45315,45328) = 2054038320

Least Common Multiple (LCM) of 45315 and 45328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45315 and 45328. First we will calculate the prime factors of 45315 and 45328.

Prime Factorization of 45315

Prime Factorization of 45328

Now multiplying the highest exponent prime factors to calculate the LCM of 45315 and 45328.

LCM(45315,45328) = 3² × 5¹ × 19¹ × 53¹ × 2⁴ × 2833¹
LCM(45315,45328) = 2054038320