GCF and LCM Calculator Logo

What is the Least Common Multiple of 10600 and 10610?

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 10600 and 10610 is 11246600.

LCM(10600,10610) = 11246600

LCM Calculator and
and

Least Common Multiple of 10600 and 10610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10600 and 10610, than apply into the LCM equation.

GCF(10600,10610) = 10
LCM(10600,10610) = ( 10600 × 10610) / 10
LCM(10600,10610) = 112466000 / 10
LCM(10600,10610) = 11246600

Least Common Multiple (LCM) of 10600 and 10610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10600 and 10610. First we will calculate the prime factors of 10600 and 10610.

Prime Factorization of 10600

Prime factors of 10600 are 2, 5, 53. Prime factorization of 10600 in exponential form is:

10600 = 23 × 52 × 531

Prime Factorization of 10610

Prime factors of 10610 are 2, 5, 1061. Prime factorization of 10610 in exponential form is:

10610 = 21 × 51 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 10600 and 10610.

LCM(10600,10610) = 23 × 52 × 531 × 10611
LCM(10600,10610) = 11246600