GCF and LCM Calculator Logo

What is the Least Common Multiple of 80239 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 (LCM) of 80239 and 80257 is 6439741423.

LCM(80239,80257) = 6439741423

LCM Calculator and
and

Least Common Multiple of 80239 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 80239 and 80257, than apply into the LCM equation.

GCF(80239,80257) = 1
LCM(80239,80257) = ( 80239 × 80257) / 1
LCM(80239,80257) = 6439741423 / 1
LCM(80239,80257) = 6439741423

Least Common Multiple (LCM) of 80239 and 80257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80239 and 80257. First we will calculate the prime factors of 80239 and 80257.

Prime Factorization of 80239

Prime factors of 80239 are 80239. Prime factorization of 80239 in exponential form is:

80239 = 802391

Prime Factorization of 80257

Prime factors of 80257 are 17, 4721. Prime factorization of 80257 in exponential form is:

80257 = 171 × 47211

Now multiplying the highest exponent prime factors to calculate the LCM of 80239 and 80257.

LCM(80239,80257) = 802391 × 171 × 47211
LCM(80239,80257) = 6439741423