What is the Least Common Multiple of 82577 and 82588?

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 82577 and 82588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82577 and 82588, than apply into the LCM equation.

GCF(82577,82588) = 11
LCM(82577,82588) = ( 82577 × 82588) / 11
LCM(82577,82588) = 6819869276 / 11
LCM(82577,82588) = 619988116

Least Common Multiple (LCM) of 82577 and 82588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82577 and 82588. First we will calculate the prime factors of 82577 and 82588.

Prime Factorization of 82577

Prime Factorization of 82588

Now multiplying the highest exponent prime factors to calculate the LCM of 82577 and 82588.

LCM(82577,82588) = 11¹ × 7507¹ × 2² × 1877¹
LCM(82577,82588) = 619988116