What is the Least Common Multiple of 72006 and 72023?

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 72006 and 72023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72006 and 72023, than apply into the LCM equation.

GCF(72006,72023) = 1
LCM(72006,72023) = ( 72006 × 72023) / 1
LCM(72006,72023) = 5186088138 / 1
LCM(72006,72023) = 5186088138

Least Common Multiple (LCM) of 72006 and 72023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72006 and 72023. First we will calculate the prime factors of 72006 and 72023.

Prime Factorization of 72006

Prime Factorization of 72023

Now multiplying the highest exponent prime factors to calculate the LCM of 72006 and 72023.

LCM(72006,72023) = 2¹ × 3¹ × 11¹ × 1091¹ × 7¹ × 10289¹
LCM(72006,72023) = 5186088138