What is the Least Common Multiple of 82542 and 82553?

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 82542 and 82553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82542 and 82553, than apply into the LCM equation.

GCF(82542,82553) = 1
LCM(82542,82553) = ( 82542 × 82553) / 1
LCM(82542,82553) = 6814089726 / 1
LCM(82542,82553) = 6814089726

Least Common Multiple (LCM) of 82542 and 82553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82542 and 82553. First we will calculate the prime factors of 82542 and 82553.

Prime Factorization of 82542

Prime Factorization of 82553

Now multiplying the highest exponent prime factors to calculate the LCM of 82542 and 82553.

LCM(82542,82553) = 2¹ × 3¹ × 13757¹ × 31¹ × 2663¹
LCM(82542,82553) = 6814089726