GCF and LCM Calculator Logo

What is the Least Common Multiple of 10602 and 10612?

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 10602 and 10612 is 56254212.

LCM(10602,10612) = 56254212

LCM Calculator and
and

Least Common Multiple of 10602 and 10612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10602 and 10612, than apply into the LCM equation.

GCF(10602,10612) = 2
LCM(10602,10612) = ( 10602 × 10612) / 2
LCM(10602,10612) = 112508424 / 2
LCM(10602,10612) = 56254212

Least Common Multiple (LCM) of 10602 and 10612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10602 and 10612. First we will calculate the prime factors of 10602 and 10612.

Prime Factorization of 10602

Prime factors of 10602 are 2, 3, 19, 31. Prime factorization of 10602 in exponential form is:

10602 = 21 × 32 × 191 × 311

Prime Factorization of 10612

Prime factors of 10612 are 2, 7, 379. Prime factorization of 10612 in exponential form is:

10612 = 22 × 71 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 10602 and 10612.

LCM(10602,10612) = 22 × 32 × 191 × 311 × 71 × 3791
LCM(10602,10612) = 56254212