What is the Least Common Multiple of 39765 and 39771?

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 39765 and 39771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39765 and 39771, than apply into the LCM equation.

GCF(39765,39771) = 3
LCM(39765,39771) = ( 39765 × 39771) / 3
LCM(39765,39771) = 1581493815 / 3
LCM(39765,39771) = 527164605

Least Common Multiple (LCM) of 39765 and 39771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39765 and 39771. First we will calculate the prime factors of 39765 and 39771.

Prime Factorization of 39765

Prime Factorization of 39771

Now multiplying the highest exponent prime factors to calculate the LCM of 39765 and 39771.

LCM(39765,39771) = 3⁴ × 5¹ × 11¹ × 241¹ × 491¹
LCM(39765,39771) = 527164605