What is the Least Common Multiple of 10646 and 10650?

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 10646 and 10650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10646 and 10650, than apply into the LCM equation.

GCF(10646,10650) = 2
LCM(10646,10650) = ( 10646 × 10650) / 2
LCM(10646,10650) = 113379900 / 2
LCM(10646,10650) = 56689950

Least Common Multiple (LCM) of 10646 and 10650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10646 and 10650. First we will calculate the prime factors of 10646 and 10650.

Prime Factorization of 10646

Prime Factorization of 10650

Now multiplying the highest exponent prime factors to calculate the LCM of 10646 and 10650.

LCM(10646,10650) = 2¹ × 5323¹ × 3¹ × 5² × 71¹
LCM(10646,10650) = 56689950