What is the Least Common Multiple of 11663 and 11683?

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 11663 and 11683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11663 and 11683, than apply into the LCM equation.

GCF(11663,11683) = 1
LCM(11663,11683) = ( 11663 × 11683) / 1
LCM(11663,11683) = 136258829 / 1
LCM(11663,11683) = 136258829

Least Common Multiple (LCM) of 11663 and 11683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11663 and 11683. First we will calculate the prime factors of 11663 and 11683.

Prime Factorization of 11663

Prime Factorization of 11683

Now multiplying the highest exponent prime factors to calculate the LCM of 11663 and 11683.

LCM(11663,11683) = 107¹ × 109¹ × 7¹ × 1669¹
LCM(11663,11683) = 136258829