What is the Least Common Multiple of 26478 and 26496?

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 26496 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 26496, than apply into the LCM equation.

GCF(26478,26496) = 18
LCM(26478,26496) = ( 26478 × 26496) / 18
LCM(26478,26496) = 701561088 / 18
LCM(26478,26496) = 38975616

Least Common Multiple (LCM) of 26478 and 26496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26478 and 26496. First we will calculate the prime factors of 26478 and 26496.

Prime Factorization of 26478

Prime Factorization of 26496

Now multiplying the highest exponent prime factors to calculate the LCM of 26478 and 26496.

LCM(26478,26496) = 2⁷ × 3² × 1471¹ × 23¹
LCM(26478,26496) = 38975616