What is the Least Common Multiple of 80240 and 80257?

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 80240 and 80257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80240 and 80257, than apply into the LCM equation.

GCF(80240,80257) = 17
LCM(80240,80257) = ( 80240 × 80257) / 17
LCM(80240,80257) = 6439821680 / 17
LCM(80240,80257) = 378813040

Least Common Multiple (LCM) of 80240 and 80257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80240 and 80257. First we will calculate the prime factors of 80240 and 80257.

Prime Factorization of 80240

Prime Factorization of 80257

Now multiplying the highest exponent prime factors to calculate the LCM of 80240 and 80257.

LCM(80240,80257) = 2⁴ × 5¹ × 17¹ × 59¹ × 4721¹
LCM(80240,80257) = 378813040