What is the Least Common Multiple of 32492 and 32503?

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 32492 and 32503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32492 and 32503, than apply into the LCM equation.

GCF(32492,32503) = 1
LCM(32492,32503) = ( 32492 × 32503) / 1
LCM(32492,32503) = 1056087476 / 1
LCM(32492,32503) = 1056087476

Least Common Multiple (LCM) of 32492 and 32503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32492 and 32503. First we will calculate the prime factors of 32492 and 32503.

Prime Factorization of 32492

Prime Factorization of 32503

Now multiplying the highest exponent prime factors to calculate the LCM of 32492 and 32503.

LCM(32492,32503) = 2² × 8123¹ × 32503¹
LCM(32492,32503) = 1056087476