GCF and LCM Calculator Logo

What is the Least Common Multiple of 7316 and 7336?

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 7316 and 7336 is 13417544.

LCM(7316,7336) = 13417544

LCM Calculator and
and

Least Common Multiple of 7316 and 7336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7316 and 7336, than apply into the LCM equation.

GCF(7316,7336) = 4
LCM(7316,7336) = ( 7316 × 7336) / 4
LCM(7316,7336) = 53670176 / 4
LCM(7316,7336) = 13417544

Least Common Multiple (LCM) of 7316 and 7336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7316 and 7336. First we will calculate the prime factors of 7316 and 7336.

Prime Factorization of 7316

Prime factors of 7316 are 2, 31, 59. Prime factorization of 7316 in exponential form is:

7316 = 22 × 311 × 591

Prime Factorization of 7336

Prime factors of 7336 are 2, 7, 131. Prime factorization of 7336 in exponential form is:

7336 = 23 × 71 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7316 and 7336.

LCM(7316,7336) = 23 × 311 × 591 × 71 × 1311
LCM(7316,7336) = 13417544