What is the Least Common Multiple of 82344 and 82350?

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 82344 and 82350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82344 and 82350, than apply into the LCM equation.

GCF(82344,82350) = 6
LCM(82344,82350) = ( 82344 × 82350) / 6
LCM(82344,82350) = 6781028400 / 6
LCM(82344,82350) = 1130171400

Least Common Multiple (LCM) of 82344 and 82350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82344 and 82350. First we will calculate the prime factors of 82344 and 82350.

Prime Factorization of 82344

Prime Factorization of 82350

Now multiplying the highest exponent prime factors to calculate the LCM of 82344 and 82350.

LCM(82344,82350) = 2³ × 3³ × 47¹ × 73¹ × 5² × 61¹
LCM(82344,82350) = 1130171400