What is the Least Common Multiple of 45308 and 45322?

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 45308 and 45322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45308 and 45322, than apply into the LCM equation.

GCF(45308,45322) = 2
LCM(45308,45322) = ( 45308 × 45322) / 2
LCM(45308,45322) = 2053449176 / 2
LCM(45308,45322) = 1026724588

Least Common Multiple (LCM) of 45308 and 45322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45308 and 45322. First we will calculate the prime factors of 45308 and 45322.

Prime Factorization of 45308

Prime Factorization of 45322

Now multiplying the highest exponent prime factors to calculate the LCM of 45308 and 45322.

LCM(45308,45322) = 2² × 47¹ × 241¹ × 17¹ × 31¹ × 43¹
LCM(45308,45322) = 1026724588