What is the Least Common Multiple of 26352 and 26367?

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 26352 and 26367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26352 and 26367, than apply into the LCM equation.

GCF(26352,26367) = 3
LCM(26352,26367) = ( 26352 × 26367) / 3
LCM(26352,26367) = 694823184 / 3
LCM(26352,26367) = 231607728

Least Common Multiple (LCM) of 26352 and 26367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26352 and 26367. First we will calculate the prime factors of 26352 and 26367.

Prime Factorization of 26352

Prime Factorization of 26367

Now multiplying the highest exponent prime factors to calculate the LCM of 26352 and 26367.

LCM(26352,26367) = 2⁴ × 3³ × 61¹ × 11¹ × 17¹ × 47¹
LCM(26352,26367) = 231607728