What is the Least Common Multiple of 32440 and 32450?

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 32440 and 32450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32440 and 32450, than apply into the LCM equation.

GCF(32440,32450) = 10
LCM(32440,32450) = ( 32440 × 32450) / 10
LCM(32440,32450) = 1052678000 / 10
LCM(32440,32450) = 105267800

Least Common Multiple (LCM) of 32440 and 32450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32440 and 32450. First we will calculate the prime factors of 32440 and 32450.

Prime Factorization of 32440

Prime Factorization of 32450

Now multiplying the highest exponent prime factors to calculate the LCM of 32440 and 32450.

LCM(32440,32450) = 2³ × 5² × 811¹ × 11¹ × 59¹
LCM(32440,32450) = 105267800