What is the Least Common Multiple of 80574 and 80583?

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 80574 and 80583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80574 and 80583, than apply into the LCM equation.

GCF(80574,80583) = 3
LCM(80574,80583) = ( 80574 × 80583) / 3
LCM(80574,80583) = 6492894642 / 3
LCM(80574,80583) = 2164298214

Least Common Multiple (LCM) of 80574 and 80583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80574 and 80583. First we will calculate the prime factors of 80574 and 80583.

Prime Factorization of 80574

Prime Factorization of 80583

Now multiplying the highest exponent prime factors to calculate the LCM of 80574 and 80583.

LCM(80574,80583) = 2¹ × 3¹ × 13¹ × 1033¹ × 26861¹
LCM(80574,80583) = 2164298214