What is the Least Common Multiple of 32006 and 32026?

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 32006 and 32026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32006 and 32026, than apply into the LCM equation.

GCF(32006,32026) = 2
LCM(32006,32026) = ( 32006 × 32026) / 2
LCM(32006,32026) = 1025024156 / 2
LCM(32006,32026) = 512512078

Least Common Multiple (LCM) of 32006 and 32026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32006 and 32026. First we will calculate the prime factors of 32006 and 32026.

Prime Factorization of 32006

Prime Factorization of 32026

Now multiplying the highest exponent prime factors to calculate the LCM of 32006 and 32026.

LCM(32006,32026) = 2¹ × 13¹ × 1231¹ × 67¹ × 239¹
LCM(32006,32026) = 512512078