What is the Least Common Multiple of 80274 and 80283?

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 80274 and 80283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80274 and 80283, than apply into the LCM equation.

GCF(80274,80283) = 3
LCM(80274,80283) = ( 80274 × 80283) / 3
LCM(80274,80283) = 6444637542 / 3
LCM(80274,80283) = 2148212514

Least Common Multiple (LCM) of 80274 and 80283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80274 and 80283. First we will calculate the prime factors of 80274 and 80283.

Prime Factorization of 80274

Prime Factorization of 80283

Now multiplying the highest exponent prime factors to calculate the LCM of 80274 and 80283.

LCM(80274,80283) = 2¹ × 3¹ × 17¹ × 787¹ × 7¹ × 3823¹
LCM(80274,80283) = 2148212514