What is the Least Common Multiple of 26478 and 26492?

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 26478 and 26492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26478 and 26492, than apply into the LCM equation.

GCF(26478,26492) = 2
LCM(26478,26492) = ( 26478 × 26492) / 2
LCM(26478,26492) = 701455176 / 2
LCM(26478,26492) = 350727588

Least Common Multiple (LCM) of 26478 and 26492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26478 and 26492. First we will calculate the prime factors of 26478 and 26492.

Prime Factorization of 26478

Prime Factorization of 26492

Now multiplying the highest exponent prime factors to calculate the LCM of 26478 and 26492.

LCM(26478,26492) = 2² × 3² × 1471¹ × 37¹ × 179¹
LCM(26478,26492) = 350727588