What is the Least Common Multiple of 44448 and 44460?

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 44448 and 44460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44448 and 44460, than apply into the LCM equation.

GCF(44448,44460) = 12
LCM(44448,44460) = ( 44448 × 44460) / 12
LCM(44448,44460) = 1976158080 / 12
LCM(44448,44460) = 164679840

Least Common Multiple (LCM) of 44448 and 44460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44448 and 44460. First we will calculate the prime factors of 44448 and 44460.

Prime Factorization of 44448

Prime Factorization of 44460

Now multiplying the highest exponent prime factors to calculate the LCM of 44448 and 44460.

LCM(44448,44460) = 2⁵ × 3² × 463¹ × 5¹ × 13¹ × 19¹
LCM(44448,44460) = 164679840