What is the Least Common Multiple of 32270 and 32284?

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 32270 and 32284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32270 and 32284, than apply into the LCM equation.

GCF(32270,32284) = 14
LCM(32270,32284) = ( 32270 × 32284) / 14
LCM(32270,32284) = 1041804680 / 14
LCM(32270,32284) = 74414620

Least Common Multiple (LCM) of 32270 and 32284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32270 and 32284. First we will calculate the prime factors of 32270 and 32284.

Prime Factorization of 32270

Prime Factorization of 32284

Now multiplying the highest exponent prime factors to calculate the LCM of 32270 and 32284.

LCM(32270,32284) = 2² × 5¹ × 7¹ × 461¹ × 1153¹
LCM(32270,32284) = 74414620