What is the Least Common Multiple of 26724 and 26741?

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 26724 and 26741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26724 and 26741, than apply into the LCM equation.

GCF(26724,26741) = 17
LCM(26724,26741) = ( 26724 × 26741) / 17
LCM(26724,26741) = 714626484 / 17
LCM(26724,26741) = 42036852

Least Common Multiple (LCM) of 26724 and 26741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26724 and 26741. First we will calculate the prime factors of 26724 and 26741.

Prime Factorization of 26724

Prime Factorization of 26741

Now multiplying the highest exponent prime factors to calculate the LCM of 26724 and 26741.

LCM(26724,26741) = 2² × 3¹ × 17¹ × 131¹ × 11² × 13¹
LCM(26724,26741) = 42036852