What is the Least Common Multiple of 32398 and 32412?

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 32398 and 32412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32398 and 32412, than apply into the LCM equation.

GCF(32398,32412) = 2
LCM(32398,32412) = ( 32398 × 32412) / 2
LCM(32398,32412) = 1050083976 / 2
LCM(32398,32412) = 525041988

Least Common Multiple (LCM) of 32398 and 32412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32398 and 32412. First we will calculate the prime factors of 32398 and 32412.

Prime Factorization of 32398

Prime Factorization of 32412

Now multiplying the highest exponent prime factors to calculate the LCM of 32398 and 32412.

LCM(32398,32412) = 2² × 97¹ × 167¹ × 3¹ × 37¹ × 73¹
LCM(32398,32412) = 525041988