What is the Least Common Multiple of 32246 and 32250?

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 32246 and 32250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32246 and 32250, than apply into the LCM equation.

GCF(32246,32250) = 2
LCM(32246,32250) = ( 32246 × 32250) / 2
LCM(32246,32250) = 1039933500 / 2
LCM(32246,32250) = 519966750

Least Common Multiple (LCM) of 32246 and 32250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32246 and 32250. First we will calculate the prime factors of 32246 and 32250.

Prime Factorization of 32246

Prime Factorization of 32250

Now multiplying the highest exponent prime factors to calculate the LCM of 32246 and 32250.

LCM(32246,32250) = 2¹ × 23¹ × 701¹ × 3¹ × 5³ × 43¹
LCM(32246,32250) = 519966750