What is the Least Common Multiple of 45376 and 45380?

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 45380 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 45380, than apply into the LCM equation.

GCF(45376,45380) = 4
LCM(45376,45380) = ( 45376 × 45380) / 4
LCM(45376,45380) = 2059162880 / 4
LCM(45376,45380) = 514790720

Least Common Multiple (LCM) of 45376 and 45380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45376 and 45380. First we will calculate the prime factors of 45376 and 45380.

Prime Factorization of 45376

Prime Factorization of 45380

Now multiplying the highest exponent prime factors to calculate the LCM of 45376 and 45380.

LCM(45376,45380) = 2⁶ × 709¹ × 5¹ × 2269¹
LCM(45376,45380) = 514790720