GCF and LCM Calculator Logo

What is the Least Common Multiple of 7330 and 7348?

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 (LCM) of 7330 and 7348 is 26930420.

LCM(7330,7348) = 26930420

LCM Calculator and
and

Least Common Multiple of 7330 and 7348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7330 and 7348, than apply into the LCM equation.

GCF(7330,7348) = 2
LCM(7330,7348) = ( 7330 × 7348) / 2
LCM(7330,7348) = 53860840 / 2
LCM(7330,7348) = 26930420

Least Common Multiple (LCM) of 7330 and 7348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7330 and 7348. First we will calculate the prime factors of 7330 and 7348.

Prime Factorization of 7330

Prime factors of 7330 are 2, 5, 733. Prime factorization of 7330 in exponential form is:

7330 = 21 × 51 × 7331

Prime Factorization of 7348

Prime factors of 7348 are 2, 11, 167. Prime factorization of 7348 in exponential form is:

7348 = 22 × 111 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 7330 and 7348.

LCM(7330,7348) = 22 × 51 × 7331 × 111 × 1671
LCM(7330,7348) = 26930420