What is the Least Common Multiple of 45458 and 45472?

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 45458 and 45472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45458 and 45472, than apply into the LCM equation.

GCF(45458,45472) = 14
LCM(45458,45472) = ( 45458 × 45472) / 14
LCM(45458,45472) = 2067066176 / 14
LCM(45458,45472) = 147647584

Least Common Multiple (LCM) of 45458 and 45472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45458 and 45472. First we will calculate the prime factors of 45458 and 45472.

Prime Factorization of 45458

Prime Factorization of 45472

Now multiplying the highest exponent prime factors to calculate the LCM of 45458 and 45472.

LCM(45458,45472) = 2⁵ × 7² × 17¹ × 191¹ × 29¹
LCM(45458,45472) = 147647584