What is the Least Common Multiple of 10646 and 10661?

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 10661 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 10661, than apply into the LCM equation.

GCF(10646,10661) = 1
LCM(10646,10661) = ( 10646 × 10661) / 1
LCM(10646,10661) = 113497006 / 1
LCM(10646,10661) = 113497006

Least Common Multiple (LCM) of 10646 and 10661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10646 and 10661. First we will calculate the prime factors of 10646 and 10661.

Prime Factorization of 10646

Prime Factorization of 10661

Now multiplying the highest exponent prime factors to calculate the LCM of 10646 and 10661.

LCM(10646,10661) = 2¹ × 5323¹ × 7¹ × 1523¹
LCM(10646,10661) = 113497006