What is the Least Common Multiple of 82534 and 82541?

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 82534 and 82541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82534 and 82541, than apply into the LCM equation.

GCF(82534,82541) = 1
LCM(82534,82541) = ( 82534 × 82541) / 1
LCM(82534,82541) = 6812438894 / 1
LCM(82534,82541) = 6812438894

Least Common Multiple (LCM) of 82534 and 82541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82534 and 82541. First we will calculate the prime factors of 82534 and 82541.

Prime Factorization of 82534

Prime Factorization of 82541

Now multiplying the highest exponent prime factors to calculate the LCM of 82534 and 82541.

LCM(82534,82541) = 2¹ × 29¹ × 1423¹ × 59¹ × 1399¹
LCM(82534,82541) = 6812438894