What is the Least Common Multiple of 32750 and 32754?

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 32750 and 32754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32750 and 32754, than apply into the LCM equation.

GCF(32750,32754) = 2
LCM(32750,32754) = ( 32750 × 32754) / 2
LCM(32750,32754) = 1072693500 / 2
LCM(32750,32754) = 536346750

Least Common Multiple (LCM) of 32750 and 32754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32750 and 32754. First we will calculate the prime factors of 32750 and 32754.

Prime Factorization of 32750

Prime Factorization of 32754

Now multiplying the highest exponent prime factors to calculate the LCM of 32750 and 32754.

LCM(32750,32754) = 2¹ × 5³ × 131¹ × 3¹ × 53¹ × 103¹
LCM(32750,32754) = 536346750