What is the Least Common Multiple of 47007 and 47026?

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 47007 and 47026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47007 and 47026, than apply into the LCM equation.

GCF(47007,47026) = 1
LCM(47007,47026) = ( 47007 × 47026) / 1
LCM(47007,47026) = 2210551182 / 1
LCM(47007,47026) = 2210551182

Least Common Multiple (LCM) of 47007 and 47026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47007 and 47026. First we will calculate the prime factors of 47007 and 47026.

Prime Factorization of 47007

Prime Factorization of 47026

Now multiplying the highest exponent prime factors to calculate the LCM of 47007 and 47026.

LCM(47007,47026) = 3³ × 1741¹ × 2¹ × 7¹ × 3359¹
LCM(47007,47026) = 2210551182