What is the Least Common Multiple of 32928 and 32935?

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 32928 and 32935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32928 and 32935, than apply into the LCM equation.

GCF(32928,32935) = 7
LCM(32928,32935) = ( 32928 × 32935) / 7
LCM(32928,32935) = 1084483680 / 7
LCM(32928,32935) = 154926240

Least Common Multiple (LCM) of 32928 and 32935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32928 and 32935. First we will calculate the prime factors of 32928 and 32935.

Prime Factorization of 32928

Prime Factorization of 32935

Now multiplying the highest exponent prime factors to calculate the LCM of 32928 and 32935.

LCM(32928,32935) = 2⁵ × 3¹ × 7³ × 5¹ × 941¹
LCM(32928,32935) = 154926240