What is the Least Common Multiple of 26749 and 26762?

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 26749 and 26762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26749 and 26762, than apply into the LCM equation.

GCF(26749,26762) = 1
LCM(26749,26762) = ( 26749 × 26762) / 1
LCM(26749,26762) = 715856738 / 1
LCM(26749,26762) = 715856738

Least Common Multiple (LCM) of 26749 and 26762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26749 and 26762. First we will calculate the prime factors of 26749 and 26762.

Prime Factorization of 26749

Prime Factorization of 26762

Now multiplying the highest exponent prime factors to calculate the LCM of 26749 and 26762.

LCM(26749,26762) = 23¹ × 1163¹ × 2¹ × 13381¹
LCM(26749,26762) = 715856738