What is the Least Common Multiple of 35238 and 35258?

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 35238 and 35258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35238 and 35258, than apply into the LCM equation.

GCF(35238,35258) = 2
LCM(35238,35258) = ( 35238 × 35258) / 2
LCM(35238,35258) = 1242421404 / 2
LCM(35238,35258) = 621210702

Least Common Multiple (LCM) of 35238 and 35258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35238 and 35258. First we will calculate the prime factors of 35238 and 35258.

Prime Factorization of 35238

Prime Factorization of 35258

Now multiplying the highest exponent prime factors to calculate the LCM of 35238 and 35258.

LCM(35238,35258) = 2¹ × 3¹ × 7¹ × 839¹ × 17² × 61¹
LCM(35238,35258) = 621210702