What is the Least Common Multiple of 35230 and 35238?

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 35230 and 35238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35230 and 35238, than apply into the LCM equation.

GCF(35230,35238) = 2
LCM(35230,35238) = ( 35230 × 35238) / 2
LCM(35230,35238) = 1241434740 / 2
LCM(35230,35238) = 620717370

Least Common Multiple (LCM) of 35230 and 35238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35230 and 35238. First we will calculate the prime factors of 35230 and 35238.

Prime Factorization of 35230

Prime Factorization of 35238

Now multiplying the highest exponent prime factors to calculate the LCM of 35230 and 35238.

LCM(35230,35238) = 2¹ × 5¹ × 13¹ × 271¹ × 3¹ × 7¹ × 839¹
LCM(35230,35238) = 620717370