What is the Least Common Multiple of 45288 and 45308?

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 45288 and 45308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45288 and 45308, than apply into the LCM equation.

GCF(45288,45308) = 4
LCM(45288,45308) = ( 45288 × 45308) / 4
LCM(45288,45308) = 2051908704 / 4
LCM(45288,45308) = 512977176

Least Common Multiple (LCM) of 45288 and 45308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45288 and 45308. First we will calculate the prime factors of 45288 and 45308.

Prime Factorization of 45288

Prime Factorization of 45308

Now multiplying the highest exponent prime factors to calculate the LCM of 45288 and 45308.

LCM(45288,45308) = 2³ × 3² × 17¹ × 37¹ × 47¹ × 241¹
LCM(45288,45308) = 512977176