What is the Least Common Multiple of 23359 and 23366?

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 23359 and 23366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23359 and 23366, than apply into the LCM equation.

GCF(23359,23366) = 7
LCM(23359,23366) = ( 23359 × 23366) / 7
LCM(23359,23366) = 545806394 / 7
LCM(23359,23366) = 77972342

Least Common Multiple (LCM) of 23359 and 23366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23359 and 23366. First we will calculate the prime factors of 23359 and 23366.

Prime Factorization of 23359

Prime Factorization of 23366

Now multiplying the highest exponent prime factors to calculate the LCM of 23359 and 23366.

LCM(23359,23366) = 7¹ × 47¹ × 71¹ × 2¹ × 1669¹
LCM(23359,23366) = 77972342