What is the Least Common Multiple of 4035 and 4047?

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 4035 and 4047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4035 and 4047, than apply into the LCM equation.

GCF(4035,4047) = 3
LCM(4035,4047) = ( 4035 × 4047) / 3
LCM(4035,4047) = 16329645 / 3
LCM(4035,4047) = 5443215

Least Common Multiple (LCM) of 4035 and 4047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4035 and 4047. First we will calculate the prime factors of 4035 and 4047.

Prime Factorization of 4035

Prime Factorization of 4047

Now multiplying the highest exponent prime factors to calculate the LCM of 4035 and 4047.

LCM(4035,4047) = 3¹ × 5¹ × 269¹ × 19¹ × 71¹
LCM(4035,4047) = 5443215