What is the Least Common Multiple of 42221 and 42238?

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 42221 and 42238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42221 and 42238, than apply into the LCM equation.

GCF(42221,42238) = 1
LCM(42221,42238) = ( 42221 × 42238) / 1
LCM(42221,42238) = 1783330598 / 1
LCM(42221,42238) = 1783330598

Least Common Multiple (LCM) of 42221 and 42238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42221 and 42238. First we will calculate the prime factors of 42221 and 42238.

Prime Factorization of 42221

Prime Factorization of 42238

Now multiplying the highest exponent prime factors to calculate the LCM of 42221 and 42238.

LCM(42221,42238) = 42221¹ × 2¹ × 7² × 431¹
LCM(42221,42238) = 1783330598