What is the Least Common Multiple of 10646 and 10657?

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 10657 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 10657, than apply into the LCM equation.

GCF(10646,10657) = 1
LCM(10646,10657) = ( 10646 × 10657) / 1
LCM(10646,10657) = 113454422 / 1
LCM(10646,10657) = 113454422

Least Common Multiple (LCM) of 10646 and 10657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10646 and 10657. First we will calculate the prime factors of 10646 and 10657.

Prime Factorization of 10646

Prime Factorization of 10657

Now multiplying the highest exponent prime factors to calculate the LCM of 10646 and 10657.

LCM(10646,10657) = 2¹ × 5323¹ × 10657¹
LCM(10646,10657) = 113454422