GCF and LCM Calculator Logo

What is the Least Common Multiple of 10676 and 10683?

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 10676 and 10683 is 114051708.

LCM(10676,10683) = 114051708

LCM Calculator and
and

Least Common Multiple of 10676 and 10683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10676 and 10683, than apply into the LCM equation.

GCF(10676,10683) = 1
LCM(10676,10683) = ( 10676 × 10683) / 1
LCM(10676,10683) = 114051708 / 1
LCM(10676,10683) = 114051708

Least Common Multiple (LCM) of 10676 and 10683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10676 and 10683. First we will calculate the prime factors of 10676 and 10683.

Prime Factorization of 10676

Prime factors of 10676 are 2, 17, 157. Prime factorization of 10676 in exponential form is:

10676 = 22 × 171 × 1571

Prime Factorization of 10683

Prime factors of 10683 are 3, 1187. Prime factorization of 10683 in exponential form is:

10683 = 32 × 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 10676 and 10683.

LCM(10676,10683) = 22 × 171 × 1571 × 32 × 11871
LCM(10676,10683) = 114051708