What is the Least Common Multiple of 10674 and 10691?

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 10691 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 10691, than apply into the LCM equation.

GCF(10674,10691) = 1
LCM(10674,10691) = ( 10674 × 10691) / 1
LCM(10674,10691) = 114115734 / 1
LCM(10674,10691) = 114115734

Least Common Multiple (LCM) of 10674 and 10691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10674 and 10691. First we will calculate the prime factors of 10674 and 10691.

Prime Factorization of 10674

Prime Factorization of 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 10674 and 10691.

LCM(10674,10691) = 2¹ × 3² × 593¹ × 10691¹
LCM(10674,10691) = 114115734