What is the Least Common Multiple of 26762 and 26781?

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 26762 and 26781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26762 and 26781, than apply into the LCM equation.

GCF(26762,26781) = 1
LCM(26762,26781) = ( 26762 × 26781) / 1
LCM(26762,26781) = 716713122 / 1
LCM(26762,26781) = 716713122

Least Common Multiple (LCM) of 26762 and 26781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26762 and 26781. First we will calculate the prime factors of 26762 and 26781.

Prime Factorization of 26762

Prime Factorization of 26781

Now multiplying the highest exponent prime factors to calculate the LCM of 26762 and 26781.

LCM(26762,26781) = 2¹ × 13381¹ × 3¹ × 79¹ × 113¹
LCM(26762,26781) = 716713122