What is the Least Common Multiple of 80424 and 80442?

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 80424 and 80442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80424 and 80442, than apply into the LCM equation.

GCF(80424,80442) = 18
LCM(80424,80442) = ( 80424 × 80442) / 18
LCM(80424,80442) = 6469467408 / 18
LCM(80424,80442) = 359414856

Least Common Multiple (LCM) of 80424 and 80442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80424 and 80442. First we will calculate the prime factors of 80424 and 80442.

Prime Factorization of 80424

Prime Factorization of 80442

Now multiplying the highest exponent prime factors to calculate the LCM of 80424 and 80442.

LCM(80424,80442) = 2³ × 3² × 1117¹ × 41¹ × 109¹
LCM(80424,80442) = 359414856