What is the Least Common Multiple of 4065 and 4073?

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 4073 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 4073, than apply into the LCM equation.

GCF(4065,4073) = 1
LCM(4065,4073) = ( 4065 × 4073) / 1
LCM(4065,4073) = 16556745 / 1
LCM(4065,4073) = 16556745

Least Common Multiple (LCM) of 4065 and 4073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4065 and 4073. First we will calculate the prime factors of 4065 and 4073.

Prime Factorization of 4065

Prime Factorization of 4073

Now multiplying the highest exponent prime factors to calculate the LCM of 4065 and 4073.

LCM(4065,4073) = 3¹ × 5¹ × 271¹ × 4073¹
LCM(4065,4073) = 16556745