What is the Least Common Multiple of 39285 and 39305?

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 39285 and 39305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39285 and 39305, than apply into the LCM equation.

GCF(39285,39305) = 5
LCM(39285,39305) = ( 39285 × 39305) / 5
LCM(39285,39305) = 1544096925 / 5
LCM(39285,39305) = 308819385

Least Common Multiple (LCM) of 39285 and 39305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39285 and 39305. First we will calculate the prime factors of 39285 and 39305.

Prime Factorization of 39285

Prime Factorization of 39305

Now multiplying the highest exponent prime factors to calculate the LCM of 39285 and 39305.

LCM(39285,39305) = 3⁴ × 5¹ × 97¹ × 7¹ × 1123¹
LCM(39285,39305) = 308819385