What is the Least Common Multiple of 26524 and 26542?

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 26524 and 26542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26524 and 26542, than apply into the LCM equation.

GCF(26524,26542) = 2
LCM(26524,26542) = ( 26524 × 26542) / 2
LCM(26524,26542) = 704000008 / 2
LCM(26524,26542) = 352000004

Least Common Multiple (LCM) of 26524 and 26542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26524 and 26542. First we will calculate the prime factors of 26524 and 26542.

Prime Factorization of 26524

Prime Factorization of 26542

Now multiplying the highest exponent prime factors to calculate the LCM of 26524 and 26542.

LCM(26524,26542) = 2² × 19¹ × 349¹ × 23¹ × 577¹
LCM(26524,26542) = 352000004