What is the Least Common Multiple of 45270 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 45270 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 45270 and 45280, than apply into the LCM equation.

GCF(45270,45280) = 10
LCM(45270,45280) = ( 45270 × 45280) / 10
LCM(45270,45280) = 2049825600 / 10
LCM(45270,45280) = 204982560

Least Common Multiple (LCM) of 45270 and 45280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45270 and 45280. First we will calculate the prime factors of 45270 and 45280.

Prime Factorization of 45270

Prime Factorization of 45280

Now multiplying the highest exponent prime factors to calculate the LCM of 45270 and 45280.

LCM(45270,45280) = 2⁵ × 3² × 5¹ × 503¹ × 283¹
LCM(45270,45280) = 204982560