What is the Least Common Multiple of 39280 and 39285?

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 39280 and 39285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39280 and 39285, than apply into the LCM equation.

GCF(39280,39285) = 5
LCM(39280,39285) = ( 39280 × 39285) / 5
LCM(39280,39285) = 1543114800 / 5
LCM(39280,39285) = 308622960

Least Common Multiple (LCM) of 39280 and 39285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39280 and 39285. First we will calculate the prime factors of 39280 and 39285.

Prime Factorization of 39280

Prime Factorization of 39285

Now multiplying the highest exponent prime factors to calculate the LCM of 39280 and 39285.

LCM(39280,39285) = 2⁴ × 5¹ × 491¹ × 3⁴ × 97¹
LCM(39280,39285) = 308622960