What is the Least Common Multiple of 26438 and 26451?

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 26438 and 26451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26438 and 26451, than apply into the LCM equation.

GCF(26438,26451) = 1
LCM(26438,26451) = ( 26438 × 26451) / 1
LCM(26438,26451) = 699311538 / 1
LCM(26438,26451) = 699311538

Least Common Multiple (LCM) of 26438 and 26451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26438 and 26451. First we will calculate the prime factors of 26438 and 26451.

Prime Factorization of 26438

Prime Factorization of 26451

Now multiplying the highest exponent prime factors to calculate the LCM of 26438 and 26451.

LCM(26438,26451) = 2¹ × 13219¹ × 3² × 2939¹
LCM(26438,26451) = 699311538