What is the Least Common Multiple of 4035 and 4040?

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 4040 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 4040, than apply into the LCM equation.

GCF(4035,4040) = 5
LCM(4035,4040) = ( 4035 × 4040) / 5
LCM(4035,4040) = 16301400 / 5
LCM(4035,4040) = 3260280

Least Common Multiple (LCM) of 4035 and 4040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4035 and 4040. First we will calculate the prime factors of 4035 and 4040.

Prime Factorization of 4035

Prime Factorization of 4040

Now multiplying the highest exponent prime factors to calculate the LCM of 4035 and 4040.

LCM(4035,4040) = 3¹ × 5¹ × 269¹ × 2³ × 101¹
LCM(4035,4040) = 3260280