GCF and LCM Calculator Logo

What is the Least Common Multiple of 35103 and 35113?

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 35103 and 35113 is 1232571639.

LCM(35103,35113) = 1232571639

LCM Calculator and
and

Least Common Multiple of 35103 and 35113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35103 and 35113, than apply into the LCM equation.

GCF(35103,35113) = 1
LCM(35103,35113) = ( 35103 × 35113) / 1
LCM(35103,35113) = 1232571639 / 1
LCM(35103,35113) = 1232571639

Least Common Multiple (LCM) of 35103 and 35113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35103 and 35113. First we will calculate the prime factors of 35103 and 35113.

Prime Factorization of 35103

Prime factors of 35103 are 3, 11701. Prime factorization of 35103 in exponential form is:

35103 = 31 × 117011

Prime Factorization of 35113

Prime factors of 35113 are 13, 37, 73. Prime factorization of 35113 in exponential form is:

35113 = 131 × 371 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 35103 and 35113.

LCM(35103,35113) = 31 × 117011 × 131 × 371 × 731
LCM(35103,35113) = 1232571639