What is the Least Common Multiple of 7302 and 7317?

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 7302 and 7317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7302 and 7317, than apply into the LCM equation.

GCF(7302,7317) = 3
LCM(7302,7317) = ( 7302 × 7317) / 3
LCM(7302,7317) = 53428734 / 3
LCM(7302,7317) = 17809578

Least Common Multiple (LCM) of 7302 and 7317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7302 and 7317. First we will calculate the prime factors of 7302 and 7317.

Prime Factorization of 7302

Prime Factorization of 7317

Now multiplying the highest exponent prime factors to calculate the LCM of 7302 and 7317.

LCM(7302,7317) = 2¹ × 3³ × 1217¹ × 271¹
LCM(7302,7317) = 17809578