What is the Least Common Multiple of 32407 and 32423?

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 32407 and 32423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32407 and 32423, than apply into the LCM equation.

GCF(32407,32423) = 1
LCM(32407,32423) = ( 32407 × 32423) / 1
LCM(32407,32423) = 1050732161 / 1
LCM(32407,32423) = 1050732161

Least Common Multiple (LCM) of 32407 and 32423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32407 and 32423. First we will calculate the prime factors of 32407 and 32423.

Prime Factorization of 32407

Prime Factorization of 32423

Now multiplying the highest exponent prime factors to calculate the LCM of 32407 and 32423.

LCM(32407,32423) = 23¹ × 1409¹ × 32423¹
LCM(32407,32423) = 1050732161