What is the Least Common Multiple of 82542 and 82562?

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 82562 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 82562, than apply into the LCM equation.

GCF(82542,82562) = 2
LCM(82542,82562) = ( 82542 × 82562) / 2
LCM(82542,82562) = 6814832604 / 2
LCM(82542,82562) = 3407416302

Least Common Multiple (LCM) of 82542 and 82562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82542 and 82562. First we will calculate the prime factors of 82542 and 82562.

Prime Factorization of 82542

Prime Factorization of 82562

Now multiplying the highest exponent prime factors to calculate the LCM of 82542 and 82562.

LCM(82542,82562) = 2¹ × 3¹ × 13757¹ × 41281¹
LCM(82542,82562) = 3407416302