What is the Least Common Multiple of 45344 and 45356?

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 45344 and 45356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45344 and 45356, than apply into the LCM equation.

GCF(45344,45356) = 4
LCM(45344,45356) = ( 45344 × 45356) / 4
LCM(45344,45356) = 2056622464 / 4
LCM(45344,45356) = 514155616

Least Common Multiple (LCM) of 45344 and 45356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45344 and 45356. First we will calculate the prime factors of 45344 and 45356.

Prime Factorization of 45344

Prime Factorization of 45356

Now multiplying the highest exponent prime factors to calculate the LCM of 45344 and 45356.

LCM(45344,45356) = 2⁵ × 13¹ × 109¹ × 17¹ × 23¹ × 29¹
LCM(45344,45356) = 514155616