What is the Least Common Multiple of 80340 and 80358?

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 80340 and 80358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80340 and 80358, than apply into the LCM equation.

GCF(80340,80358) = 6
LCM(80340,80358) = ( 80340 × 80358) / 6
LCM(80340,80358) = 6455961720 / 6
LCM(80340,80358) = 1075993620

Least Common Multiple (LCM) of 80340 and 80358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80340 and 80358. First we will calculate the prime factors of 80340 and 80358.

Prime Factorization of 80340

Prime Factorization of 80358

Now multiplying the highest exponent prime factors to calculate the LCM of 80340 and 80358.

LCM(80340,80358) = 2² × 3¹ × 5¹ × 13¹ × 103¹ × 59¹ × 227¹
LCM(80340,80358) = 1075993620