What is the Least Common Multiple of 32476 and 32492?

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 32476 and 32492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32476 and 32492, than apply into the LCM equation.

GCF(32476,32492) = 4
LCM(32476,32492) = ( 32476 × 32492) / 4
LCM(32476,32492) = 1055210192 / 4
LCM(32476,32492) = 263802548

Least Common Multiple (LCM) of 32476 and 32492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32476 and 32492. First we will calculate the prime factors of 32476 and 32492.

Prime Factorization of 32476

Prime Factorization of 32492

Now multiplying the highest exponent prime factors to calculate the LCM of 32476 and 32492.

LCM(32476,32492) = 2² × 23¹ × 353¹ × 8123¹
LCM(32476,32492) = 263802548