What is the Least Common Multiple of 82436 and 82450?

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 82436 and 82450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82436 and 82450, than apply into the LCM equation.

GCF(82436,82450) = 2
LCM(82436,82450) = ( 82436 × 82450) / 2
LCM(82436,82450) = 6796848200 / 2
LCM(82436,82450) = 3398424100

Least Common Multiple (LCM) of 82436 and 82450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82436 and 82450. First we will calculate the prime factors of 82436 and 82450.

Prime Factorization of 82436

Prime Factorization of 82450

Now multiplying the highest exponent prime factors to calculate the LCM of 82436 and 82450.

LCM(82436,82450) = 2² × 37¹ × 557¹ × 5² × 17¹ × 97¹
LCM(82436,82450) = 3398424100