What is the Least Common Multiple of 72009 and 72026?

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 72009 and 72026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72009 and 72026, than apply into the LCM equation.

GCF(72009,72026) = 1
LCM(72009,72026) = ( 72009 × 72026) / 1
LCM(72009,72026) = 5186520234 / 1
LCM(72009,72026) = 5186520234

Least Common Multiple (LCM) of 72009 and 72026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72009 and 72026. First we will calculate the prime factors of 72009 and 72026.

Prime Factorization of 72009

Prime Factorization of 72026

Now multiplying the highest exponent prime factors to calculate the LCM of 72009 and 72026.

LCM(72009,72026) = 3⁴ × 7¹ × 127¹ × 2¹ × 36013¹
LCM(72009,72026) = 5186520234