What is the Least Common Multiple of 39275 and 39280?

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 39275 and 39280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39275 and 39280, than apply into the LCM equation.

GCF(39275,39280) = 5
LCM(39275,39280) = ( 39275 × 39280) / 5
LCM(39275,39280) = 1542722000 / 5
LCM(39275,39280) = 308544400

Least Common Multiple (LCM) of 39275 and 39280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39275 and 39280. First we will calculate the prime factors of 39275 and 39280.

Prime Factorization of 39275

Prime Factorization of 39280

Now multiplying the highest exponent prime factors to calculate the LCM of 39275 and 39280.

LCM(39275,39280) = 5² × 1571¹ × 2⁴ × 491¹
LCM(39275,39280) = 308544400