GCF and LCM Calculator Logo

What is the Least Common Multiple of 7608 and 7614?

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 7608 and 7614 is 9654552.

LCM(7608,7614) = 9654552

LCM Calculator and
and

Least Common Multiple of 7608 and 7614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7608 and 7614, than apply into the LCM equation.

GCF(7608,7614) = 6
LCM(7608,7614) = ( 7608 × 7614) / 6
LCM(7608,7614) = 57927312 / 6
LCM(7608,7614) = 9654552

Least Common Multiple (LCM) of 7608 and 7614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7608 and 7614. First we will calculate the prime factors of 7608 and 7614.

Prime Factorization of 7608

Prime factors of 7608 are 2, 3, 317. Prime factorization of 7608 in exponential form is:

7608 = 23 × 31 × 3171

Prime Factorization of 7614

Prime factors of 7614 are 2, 3, 47. Prime factorization of 7614 in exponential form is:

7614 = 21 × 34 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 7608 and 7614.

LCM(7608,7614) = 23 × 34 × 3171 × 471
LCM(7608,7614) = 9654552