What is the Least Common Multiple of 80346 and 80355?

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 80346 and 80355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80346 and 80355, than apply into the LCM equation.

GCF(80346,80355) = 3
LCM(80346,80355) = ( 80346 × 80355) / 3
LCM(80346,80355) = 6456202830 / 3
LCM(80346,80355) = 2152067610

Least Common Multiple (LCM) of 80346 and 80355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80346 and 80355. First we will calculate the prime factors of 80346 and 80355.

Prime Factorization of 80346

Prime Factorization of 80355

Now multiplying the highest exponent prime factors to calculate the LCM of 80346 and 80355.

LCM(80346,80355) = 2¹ × 3¹ × 7¹ × 1913¹ × 5¹ × 11¹ × 487¹
LCM(80346,80355) = 2152067610