What is the Least Common Multiple of 39288 and 39302?

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 39288 and 39302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39288 and 39302, than apply into the LCM equation.

GCF(39288,39302) = 2
LCM(39288,39302) = ( 39288 × 39302) / 2
LCM(39288,39302) = 1544096976 / 2
LCM(39288,39302) = 772048488

Least Common Multiple (LCM) of 39288 and 39302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39288 and 39302. First we will calculate the prime factors of 39288 and 39302.

Prime Factorization of 39288

Prime Factorization of 39302

Now multiplying the highest exponent prime factors to calculate the LCM of 39288 and 39302.

LCM(39288,39302) = 2³ × 3¹ × 1637¹ × 43¹ × 457¹
LCM(39288,39302) = 772048488