What is the Least Common Multiple of 55238 and 55258?

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 55238 and 55258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55238 and 55258, than apply into the LCM equation.

GCF(55238,55258) = 2
LCM(55238,55258) = ( 55238 × 55258) / 2
LCM(55238,55258) = 3052341404 / 2
LCM(55238,55258) = 1526170702

Least Common Multiple (LCM) of 55238 and 55258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55238 and 55258. First we will calculate the prime factors of 55238 and 55258.

Prime Factorization of 55238

Prime Factorization of 55258

Now multiplying the highest exponent prime factors to calculate the LCM of 55238 and 55258.

LCM(55238,55258) = 2¹ × 71¹ × 389¹ × 7¹ × 3947¹
LCM(55238,55258) = 1526170702