What is the Least Common Multiple of 72424 and 72436?

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 72424 and 72436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72424 and 72436, than apply into the LCM equation.

GCF(72424,72436) = 4
LCM(72424,72436) = ( 72424 × 72436) / 4
LCM(72424,72436) = 5246104864 / 4
LCM(72424,72436) = 1311526216

Least Common Multiple (LCM) of 72424 and 72436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72424 and 72436. First we will calculate the prime factors of 72424 and 72436.

Prime Factorization of 72424

Prime Factorization of 72436

Now multiplying the highest exponent prime factors to calculate the LCM of 72424 and 72436.

LCM(72424,72436) = 2³ × 11¹ × 823¹ × 7¹ × 13¹ × 199¹
LCM(72424,72436) = 1311526216