GCF and LCM Calculator Logo

What is the Least Common Multiple of 67931 and 67945?

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 67931 and 67945 is 4615571795.

LCM(67931,67945) = 4615571795

LCM Calculator and
and

Least Common Multiple of 67931 and 67945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67931 and 67945, than apply into the LCM equation.

GCF(67931,67945) = 1
LCM(67931,67945) = ( 67931 × 67945) / 1
LCM(67931,67945) = 4615571795 / 1
LCM(67931,67945) = 4615571795

Least Common Multiple (LCM) of 67931 and 67945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67931 and 67945. First we will calculate the prime factors of 67931 and 67945.

Prime Factorization of 67931

Prime factors of 67931 are 67931. Prime factorization of 67931 in exponential form is:

67931 = 679311

Prime Factorization of 67945

Prime factors of 67945 are 5, 107, 127. Prime factorization of 67945 in exponential form is:

67945 = 51 × 1071 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 67931 and 67945.

LCM(67931,67945) = 679311 × 51 × 1071 × 1271
LCM(67931,67945) = 4615571795