What is the Least Common Multiple of 57858 and 57863?

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 57858 and 57863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57858 and 57863, than apply into the LCM equation.

GCF(57858,57863) = 1
LCM(57858,57863) = ( 57858 × 57863) / 1
LCM(57858,57863) = 3347837454 / 1
LCM(57858,57863) = 3347837454

Least Common Multiple (LCM) of 57858 and 57863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57858 and 57863. First we will calculate the prime factors of 57858 and 57863.

Prime Factorization of 57858

Prime Factorization of 57863

Now multiplying the highest exponent prime factors to calculate the LCM of 57858 and 57863.

LCM(57858,57863) = 2¹ × 3¹ × 9643¹ × 13¹ × 4451¹
LCM(57858,57863) = 3347837454