GCF and LCM Calculator Logo

What is the Least Common Multiple of 7294 and 7314?

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 7294 and 7314 is 26674158.

LCM(7294,7314) = 26674158

LCM Calculator and
and

Least Common Multiple of 7294 and 7314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7294 and 7314, than apply into the LCM equation.

GCF(7294,7314) = 2
LCM(7294,7314) = ( 7294 × 7314) / 2
LCM(7294,7314) = 53348316 / 2
LCM(7294,7314) = 26674158

Least Common Multiple (LCM) of 7294 and 7314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7294 and 7314. First we will calculate the prime factors of 7294 and 7314.

Prime Factorization of 7294

Prime factors of 7294 are 2, 7, 521. Prime factorization of 7294 in exponential form is:

7294 = 21 × 71 × 5211

Prime Factorization of 7314

Prime factors of 7314 are 2, 3, 23, 53. Prime factorization of 7314 in exponential form is:

7314 = 21 × 31 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 7294 and 7314.

LCM(7294,7314) = 21 × 71 × 5211 × 31 × 231 × 531
LCM(7294,7314) = 26674158