What is the Least Common Multiple of 55238 and 55251?

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 55251 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 55251, than apply into the LCM equation.

GCF(55238,55251) = 1
LCM(55238,55251) = ( 55238 × 55251) / 1
LCM(55238,55251) = 3051954738 / 1
LCM(55238,55251) = 3051954738

Least Common Multiple (LCM) of 55238 and 55251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55238 and 55251. First we will calculate the prime factors of 55238 and 55251.

Prime Factorization of 55238

Prime Factorization of 55251

Now multiplying the highest exponent prime factors to calculate the LCM of 55238 and 55251.

LCM(55238,55251) = 2¹ × 71¹ × 389¹ × 3² × 7¹ × 877¹
LCM(55238,55251) = 3051954738