What is the Least Common Multiple of 32456 and 32476?

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 32456 and 32476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32456 and 32476, than apply into the LCM equation.

GCF(32456,32476) = 4
LCM(32456,32476) = ( 32456 × 32476) / 4
LCM(32456,32476) = 1054041056 / 4
LCM(32456,32476) = 263510264

Least Common Multiple (LCM) of 32456 and 32476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32456 and 32476. First we will calculate the prime factors of 32456 and 32476.

Prime Factorization of 32456

Prime Factorization of 32476

Now multiplying the highest exponent prime factors to calculate the LCM of 32456 and 32476.

LCM(32456,32476) = 2³ × 4057¹ × 23¹ × 353¹
LCM(32456,32476) = 263510264