GCF and LCM Calculator Logo

What is the Least Common Multiple of 68029 and 68037?

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 68029 and 68037 is 4628489073.

LCM(68029,68037) = 4628489073

LCM Calculator and
and

Least Common Multiple of 68029 and 68037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68029 and 68037, than apply into the LCM equation.

GCF(68029,68037) = 1
LCM(68029,68037) = ( 68029 × 68037) / 1
LCM(68029,68037) = 4628489073 / 1
LCM(68029,68037) = 4628489073

Least Common Multiple (LCM) of 68029 and 68037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68029 and 68037. First we will calculate the prime factors of 68029 and 68037.

Prime Factorization of 68029

Prime factors of 68029 are 13, 5233. Prime factorization of 68029 in exponential form is:

68029 = 131 × 52331

Prime Factorization of 68037

Prime factors of 68037 are 3, 22679. Prime factorization of 68037 in exponential form is:

68037 = 31 × 226791

Now multiplying the highest exponent prime factors to calculate the LCM of 68029 and 68037.

LCM(68029,68037) = 131 × 52331 × 31 × 226791
LCM(68029,68037) = 4628489073