What is the Least Common Multiple of 32402 and 32407?

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 32402 and 32407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32402 and 32407, than apply into the LCM equation.

GCF(32402,32407) = 1
LCM(32402,32407) = ( 32402 × 32407) / 1
LCM(32402,32407) = 1050051614 / 1
LCM(32402,32407) = 1050051614

Least Common Multiple (LCM) of 32402 and 32407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32402 and 32407. First we will calculate the prime factors of 32402 and 32407.

Prime Factorization of 32402

Prime Factorization of 32407

Now multiplying the highest exponent prime factors to calculate the LCM of 32402 and 32407.

LCM(32402,32407) = 2¹ × 17¹ × 953¹ × 23¹ × 1409¹
LCM(32402,32407) = 1050051614