What is the Least Common Multiple of 10674 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 of 10674 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 10674 and 10683, than apply into the LCM equation.

GCF(10674,10683) = 9
LCM(10674,10683) = ( 10674 × 10683) / 9
LCM(10674,10683) = 114030342 / 9
LCM(10674,10683) = 12670038

Least Common Multiple (LCM) of 10674 and 10683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10674 and 10683. First we will calculate the prime factors of 10674 and 10683.

Prime Factorization of 10674

Prime Factorization of 10683

Now multiplying the highest exponent prime factors to calculate the LCM of 10674 and 10683.

LCM(10674,10683) = 2¹ × 3² × 593¹ × 1187¹
LCM(10674,10683) = 12670038