What is the Least Common Multiple of 4045 and 4061?

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 4045 and 4061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4045 and 4061, than apply into the LCM equation.

GCF(4045,4061) = 1
LCM(4045,4061) = ( 4045 × 4061) / 1
LCM(4045,4061) = 16426745 / 1
LCM(4045,4061) = 16426745

Least Common Multiple (LCM) of 4045 and 4061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4045 and 4061. First we will calculate the prime factors of 4045 and 4061.

Prime Factorization of 4045

Prime Factorization of 4061

Now multiplying the highest exponent prime factors to calculate the LCM of 4045 and 4061.

LCM(4045,4061) = 5¹ × 809¹ × 31¹ × 131¹
LCM(4045,4061) = 16426745