What is the Least Common Multiple of 72603 and 72622?

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 72603 and 72622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72603 and 72622, than apply into the LCM equation.

GCF(72603,72622) = 1
LCM(72603,72622) = ( 72603 × 72622) / 1
LCM(72603,72622) = 5272575066 / 1
LCM(72603,72622) = 5272575066

Least Common Multiple (LCM) of 72603 and 72622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72603 and 72622. First we will calculate the prime factors of 72603 and 72622.

Prime Factorization of 72603

Prime Factorization of 72622

Now multiplying the highest exponent prime factors to calculate the LCM of 72603 and 72622.

LCM(72603,72622) = 3³ × 2689¹ × 2¹ × 11¹ × 3301¹
LCM(72603,72622) = 5272575066