What is the Least Common Multiple of 80693 and 80712?

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 80693 and 80712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80693 and 80712, than apply into the LCM equation.

GCF(80693,80712) = 19
LCM(80693,80712) = ( 80693 × 80712) / 19
LCM(80693,80712) = 6512893416 / 19
LCM(80693,80712) = 342783864

Least Common Multiple (LCM) of 80693 and 80712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80693 and 80712. First we will calculate the prime factors of 80693 and 80712.

Prime Factorization of 80693

Prime Factorization of 80712

Now multiplying the highest exponent prime factors to calculate the LCM of 80693 and 80712.

LCM(80693,80712) = 19¹ × 31¹ × 137¹ × 2³ × 3² × 59¹
LCM(80693,80712) = 342783864