What is the Least Common Multiple of 82492 and 82499?

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 82492 and 82499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82492 and 82499, than apply into the LCM equation.

GCF(82492,82499) = 1
LCM(82492,82499) = ( 82492 × 82499) / 1
LCM(82492,82499) = 6805507508 / 1
LCM(82492,82499) = 6805507508

Least Common Multiple (LCM) of 82492 and 82499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82492 and 82499. First we will calculate the prime factors of 82492 and 82499.

Prime Factorization of 82492

Prime Factorization of 82499

Now multiplying the highest exponent prime factors to calculate the LCM of 82492 and 82499.

LCM(82492,82499) = 2² × 41¹ × 503¹ × 82499¹
LCM(82492,82499) = 6805507508