What is the Least Common Multiple of 4065 and 4075?

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 4065 and 4075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4065 and 4075, than apply into the LCM equation.

GCF(4065,4075) = 5
LCM(4065,4075) = ( 4065 × 4075) / 5
LCM(4065,4075) = 16564875 / 5
LCM(4065,4075) = 3312975

Least Common Multiple (LCM) of 4065 and 4075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4065 and 4075. First we will calculate the prime factors of 4065 and 4075.

Prime Factorization of 4065

Prime Factorization of 4075

Now multiplying the highest exponent prime factors to calculate the LCM of 4065 and 4075.

LCM(4065,4075) = 3¹ × 5² × 271¹ × 163¹
LCM(4065,4075) = 3312975