GCF and LCM Calculator Logo

What is the Least Common Multiple of 68316 and 68328?

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 68316 and 68328 is 388991304.

LCM(68316,68328) = 388991304

LCM Calculator and
and

Least Common Multiple of 68316 and 68328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68316 and 68328, than apply into the LCM equation.

GCF(68316,68328) = 12
LCM(68316,68328) = ( 68316 × 68328) / 12
LCM(68316,68328) = 4667895648 / 12
LCM(68316,68328) = 388991304

Least Common Multiple (LCM) of 68316 and 68328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68316 and 68328. First we will calculate the prime factors of 68316 and 68328.

Prime Factorization of 68316

Prime factors of 68316 are 2, 3, 5693. Prime factorization of 68316 in exponential form is:

68316 = 22 × 31 × 56931

Prime Factorization of 68328

Prime factors of 68328 are 2, 3, 13, 73. Prime factorization of 68328 in exponential form is:

68328 = 23 × 32 × 131 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 68316 and 68328.

LCM(68316,68328) = 23 × 32 × 56931 × 131 × 731
LCM(68316,68328) = 388991304