GCF and LCM Calculator Logo

What is the Least Common Multiple of 68316 and 68333?

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 68333 is 4668237228.

LCM(68316,68333) = 4668237228

LCM Calculator and
and

Least Common Multiple of 68316 and 68333 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 68333, than apply into the LCM equation.

GCF(68316,68333) = 1
LCM(68316,68333) = ( 68316 × 68333) / 1
LCM(68316,68333) = 4668237228 / 1
LCM(68316,68333) = 4668237228

Least Common Multiple (LCM) of 68316 and 68333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68316 and 68333. First we will calculate the prime factors of 68316 and 68333.

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 68333

Prime factors of 68333 are 23, 2971. Prime factorization of 68333 in exponential form is:

68333 = 231 × 29711

Now multiplying the highest exponent prime factors to calculate the LCM of 68316 and 68333.

LCM(68316,68333) = 22 × 31 × 56931 × 231 × 29711
LCM(68316,68333) = 4668237228