What is the Least Common Multiple of 26753 and 26773?

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 26753 and 26773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26753 and 26773, than apply into the LCM equation.

GCF(26753,26773) = 1
LCM(26753,26773) = ( 26753 × 26773) / 1
LCM(26753,26773) = 716258069 / 1
LCM(26753,26773) = 716258069

Least Common Multiple (LCM) of 26753 and 26773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26753 and 26773. First we will calculate the prime factors of 26753 and 26773.

Prime Factorization of 26753

Prime Factorization of 26773

Now multiplying the highest exponent prime factors to calculate the LCM of 26753 and 26773.

LCM(26753,26773) = 31¹ × 863¹ × 41¹ × 653¹
LCM(26753,26773) = 716258069