What is the Least Common Multiple of 82013 and 82033?

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 82013 and 82033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82013 and 82033, than apply into the LCM equation.

GCF(82013,82033) = 1
LCM(82013,82033) = ( 82013 × 82033) / 1
LCM(82013,82033) = 6727772429 / 1
LCM(82013,82033) = 6727772429

Least Common Multiple (LCM) of 82013 and 82033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82013 and 82033. First we will calculate the prime factors of 82013 and 82033.

Prime Factorization of 82013

Prime Factorization of 82033

Now multiplying the highest exponent prime factors to calculate the LCM of 82013 and 82033.

LCM(82013,82033) = 82013¹ × 7¹ × 11719¹
LCM(82013,82033) = 6727772429