What is the Least Common Multiple of 4006 and 4026?

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 4006 and 4026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4006 and 4026, than apply into the LCM equation.

GCF(4006,4026) = 2
LCM(4006,4026) = ( 4006 × 4026) / 2
LCM(4006,4026) = 16128156 / 2
LCM(4006,4026) = 8064078

Least Common Multiple (LCM) of 4006 and 4026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4006 and 4026. First we will calculate the prime factors of 4006 and 4026.

Prime Factorization of 4006

Prime Factorization of 4026

Now multiplying the highest exponent prime factors to calculate the LCM of 4006 and 4026.

LCM(4006,4026) = 2¹ × 2003¹ × 3¹ × 11¹ × 61¹
LCM(4006,4026) = 8064078