What is the Least Common Multiple of 45172 and 45184?

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 45172 and 45184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45172 and 45184, than apply into the LCM equation.

GCF(45172,45184) = 4
LCM(45172,45184) = ( 45172 × 45184) / 4
LCM(45172,45184) = 2041051648 / 4
LCM(45172,45184) = 510262912

Least Common Multiple (LCM) of 45172 and 45184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45172 and 45184. First we will calculate the prime factors of 45172 and 45184.

Prime Factorization of 45172

Prime Factorization of 45184

Now multiplying the highest exponent prime factors to calculate the LCM of 45172 and 45184.

LCM(45172,45184) = 2⁷ × 23¹ × 491¹ × 353¹
LCM(45172,45184) = 510262912