What is the Least Common Multiple of 26752 and 26756?

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 26752 and 26756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26752 and 26756, than apply into the LCM equation.

GCF(26752,26756) = 4
LCM(26752,26756) = ( 26752 × 26756) / 4
LCM(26752,26756) = 715776512 / 4
LCM(26752,26756) = 178944128

Least Common Multiple (LCM) of 26752 and 26756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26752 and 26756. First we will calculate the prime factors of 26752 and 26756.

Prime Factorization of 26752

Prime Factorization of 26756

Now multiplying the highest exponent prime factors to calculate the LCM of 26752 and 26756.

LCM(26752,26756) = 2⁷ × 11¹ × 19¹ × 6689¹
LCM(26752,26756) = 178944128