What is the Least Common Multiple of 45376 and 45384?

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 45376 and 45384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45376 and 45384, than apply into the LCM equation.

GCF(45376,45384) = 8
LCM(45376,45384) = ( 45376 × 45384) / 8
LCM(45376,45384) = 2059344384 / 8
LCM(45376,45384) = 257418048

Least Common Multiple (LCM) of 45376 and 45384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45376 and 45384. First we will calculate the prime factors of 45376 and 45384.

Prime Factorization of 45376

Prime Factorization of 45384

Now multiplying the highest exponent prime factors to calculate the LCM of 45376 and 45384.

LCM(45376,45384) = 2⁶ × 709¹ × 3¹ × 31¹ × 61¹
LCM(45376,45384) = 257418048