What is the Least Common Multiple of 32284 and 32304?

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 32284 and 32304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32284 and 32304, than apply into the LCM equation.

GCF(32284,32304) = 4
LCM(32284,32304) = ( 32284 × 32304) / 4
LCM(32284,32304) = 1042902336 / 4
LCM(32284,32304) = 260725584

Least Common Multiple (LCM) of 32284 and 32304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32284 and 32304. First we will calculate the prime factors of 32284 and 32304.

Prime Factorization of 32284

Prime Factorization of 32304

Now multiplying the highest exponent prime factors to calculate the LCM of 32284 and 32304.

LCM(32284,32304) = 2⁴ × 7¹ × 1153¹ × 3¹ × 673¹
LCM(32284,32304) = 260725584