What is the Least Common Multiple of 80384 and 80402?

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 80384 and 80402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80384 and 80402, than apply into the LCM equation.

GCF(80384,80402) = 2
LCM(80384,80402) = ( 80384 × 80402) / 2
LCM(80384,80402) = 6463034368 / 2
LCM(80384,80402) = 3231517184

Least Common Multiple (LCM) of 80384 and 80402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80384 and 80402. First we will calculate the prime factors of 80384 and 80402.

Prime Factorization of 80384

Prime Factorization of 80402

Now multiplying the highest exponent prime factors to calculate the LCM of 80384 and 80402.

LCM(80384,80402) = 2⁹ × 157¹ × 7¹ × 5743¹
LCM(80384,80402) = 3231517184