What is the Least Common Multiple of 32230 and 32242?

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 32230 and 32242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32230 and 32242, than apply into the LCM equation.

GCF(32230,32242) = 2
LCM(32230,32242) = ( 32230 × 32242) / 2
LCM(32230,32242) = 1039159660 / 2
LCM(32230,32242) = 519579830

Least Common Multiple (LCM) of 32230 and 32242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32230 and 32242. First we will calculate the prime factors of 32230 and 32242.

Prime Factorization of 32230

Prime Factorization of 32242

Now multiplying the highest exponent prime factors to calculate the LCM of 32230 and 32242.

LCM(32230,32242) = 2¹ × 5¹ × 11¹ × 293¹ × 7³ × 47¹
LCM(32230,32242) = 519579830