What is the Least Common Multiple of 72538 and 72542?

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 72538 and 72542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72538 and 72542, than apply into the LCM equation.

GCF(72538,72542) = 2
LCM(72538,72542) = ( 72538 × 72542) / 2
LCM(72538,72542) = 5262051596 / 2
LCM(72538,72542) = 2631025798

Least Common Multiple (LCM) of 72538 and 72542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72538 and 72542. First we will calculate the prime factors of 72538 and 72542.

Prime Factorization of 72538

Prime Factorization of 72542

Now multiplying the highest exponent prime factors to calculate the LCM of 72538 and 72542.

LCM(72538,72542) = 2¹ × 36269¹ × 19¹ × 23¹ × 83¹
LCM(72538,72542) = 2631025798