What is the Least Common Multiple of 32750 and 32762?

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 32762 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 32762, than apply into the LCM equation.

GCF(32750,32762) = 2
LCM(32750,32762) = ( 32750 × 32762) / 2
LCM(32750,32762) = 1072955500 / 2
LCM(32750,32762) = 536477750

Least Common Multiple (LCM) of 32750 and 32762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32750 and 32762. First we will calculate the prime factors of 32750 and 32762.

Prime Factorization of 32750

Prime Factorization of 32762

Now multiplying the highest exponent prime factors to calculate the LCM of 32750 and 32762.

LCM(32750,32762) = 2¹ × 5³ × 131¹ × 16381¹
LCM(32750,32762) = 536477750