What is the Least Common Multiple of 26752 and 26771?

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 26771 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 26771, than apply into the LCM equation.

GCF(26752,26771) = 19
LCM(26752,26771) = ( 26752 × 26771) / 19
LCM(26752,26771) = 716177792 / 19
LCM(26752,26771) = 37693568

Least Common Multiple (LCM) of 26752 and 26771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26752 and 26771. First we will calculate the prime factors of 26752 and 26771.

Prime Factorization of 26752

Prime Factorization of 26771

Now multiplying the highest exponent prime factors to calculate the LCM of 26752 and 26771.

LCM(26752,26771) = 2⁷ × 11¹ × 19¹ × 1409¹
LCM(26752,26771) = 37693568