What is the Least Common Multiple of 45275 and 45280?

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 45275 and 45280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45275 and 45280, than apply into the LCM equation.

GCF(45275,45280) = 5
LCM(45275,45280) = ( 45275 × 45280) / 5
LCM(45275,45280) = 2050052000 / 5
LCM(45275,45280) = 410010400

Least Common Multiple (LCM) of 45275 and 45280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45275 and 45280. First we will calculate the prime factors of 45275 and 45280.

Prime Factorization of 45275

Prime Factorization of 45280

Now multiplying the highest exponent prime factors to calculate the LCM of 45275 and 45280.

LCM(45275,45280) = 5² × 1811¹ × 2⁵ × 283¹
LCM(45275,45280) = 410010400