What is the Least Common Multiple of 57258 and 57263?

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 57258 and 57263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57258 and 57263, than apply into the LCM equation.

GCF(57258,57263) = 1
LCM(57258,57263) = ( 57258 × 57263) / 1
LCM(57258,57263) = 3278764854 / 1
LCM(57258,57263) = 3278764854

Least Common Multiple (LCM) of 57258 and 57263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57258 and 57263. First we will calculate the prime factors of 57258 and 57263.

Prime Factorization of 57258

Prime Factorization of 57263

Now multiplying the highest exponent prime factors to calculate the LCM of 57258 and 57263.

LCM(57258,57263) = 2¹ × 3² × 3181¹ × 173¹ × 331¹
LCM(57258,57263) = 3278764854