What is the Least Common Multiple of 82610 and 82625?

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 82610 and 82625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82610 and 82625, than apply into the LCM equation.

GCF(82610,82625) = 5
LCM(82610,82625) = ( 82610 × 82625) / 5
LCM(82610,82625) = 6825651250 / 5
LCM(82610,82625) = 1365130250

Least Common Multiple (LCM) of 82610 and 82625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82610 and 82625. First we will calculate the prime factors of 82610 and 82625.

Prime Factorization of 82610

Prime Factorization of 82625

Now multiplying the highest exponent prime factors to calculate the LCM of 82610 and 82625.

LCM(82610,82625) = 2¹ × 5³ × 11¹ × 751¹ × 661¹
LCM(82610,82625) = 1365130250