GCF and LCM Calculator Logo

What is the Least Common Multiple of 10059 and 10070?

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 10059 and 10070 is 101294130.

LCM(10059,10070) = 101294130

LCM Calculator and
and

Least Common Multiple of 10059 and 10070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10059 and 10070, than apply into the LCM equation.

GCF(10059,10070) = 1
LCM(10059,10070) = ( 10059 × 10070) / 1
LCM(10059,10070) = 101294130 / 1
LCM(10059,10070) = 101294130

Least Common Multiple (LCM) of 10059 and 10070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10059 and 10070. First we will calculate the prime factors of 10059 and 10070.

Prime Factorization of 10059

Prime factors of 10059 are 3, 7, 479. Prime factorization of 10059 in exponential form is:

10059 = 31 × 71 × 4791

Prime Factorization of 10070

Prime factors of 10070 are 2, 5, 19, 53. Prime factorization of 10070 in exponential form is:

10070 = 21 × 51 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 10059 and 10070.

LCM(10059,10070) = 31 × 71 × 4791 × 21 × 51 × 191 × 531
LCM(10059,10070) = 101294130