What is the Least Common Multiple of 70029 and 70037?

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 of 70029 and 70037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70029 and 70037, than apply into the LCM equation.

GCF(70029,70037) = 1
LCM(70029,70037) = ( 70029 × 70037) / 1
LCM(70029,70037) = 4904621073 / 1
LCM(70029,70037) = 4904621073

Least Common Multiple (LCM) of 70029 and 70037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70029 and 70037. First we will calculate the prime factors of 70029 and 70037.

Prime Factorization of 70029

Prime Factorization of 70037

Now multiplying the highest exponent prime factors to calculate the LCM of 70029 and 70037.

LCM(70029,70037) = 3² × 31¹ × 251¹ × 11¹ × 6367¹
LCM(70029,70037) = 4904621073