What is the Least Common Multiple of 73424 and 73442?

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 73424 and 73442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73424 and 73442, than apply into the LCM equation.

GCF(73424,73442) = 2
LCM(73424,73442) = ( 73424 × 73442) / 2
LCM(73424,73442) = 5392405408 / 2
LCM(73424,73442) = 2696202704

Least Common Multiple (LCM) of 73424 and 73442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73424 and 73442. First we will calculate the prime factors of 73424 and 73442.

Prime Factorization of 73424

Prime Factorization of 73442

Now multiplying the highest exponent prime factors to calculate the LCM of 73424 and 73442.

LCM(73424,73442) = 2⁴ × 13¹ × 353¹ × 36721¹
LCM(73424,73442) = 2696202704