What is the Least Common Multiple of 82554 and 82570?

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 82554 and 82570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82554 and 82570, than apply into the LCM equation.

GCF(82554,82570) = 2
LCM(82554,82570) = ( 82554 × 82570) / 2
LCM(82554,82570) = 6816483780 / 2
LCM(82554,82570) = 3408241890

Least Common Multiple (LCM) of 82554 and 82570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82554 and 82570. First we will calculate the prime factors of 82554 and 82570.

Prime Factorization of 82554

Prime Factorization of 82570

Now multiplying the highest exponent prime factors to calculate the LCM of 82554 and 82570.

LCM(82554,82570) = 2¹ × 3¹ × 13759¹ × 5¹ × 23¹ × 359¹
LCM(82554,82570) = 3408241890