What is the Least Common Multiple of 57834 and 57851?

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 57834 and 57851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57834 and 57851, than apply into the LCM equation.

GCF(57834,57851) = 17
LCM(57834,57851) = ( 57834 × 57851) / 17
LCM(57834,57851) = 3345754734 / 17
LCM(57834,57851) = 196809102

Least Common Multiple (LCM) of 57834 and 57851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57834 and 57851. First we will calculate the prime factors of 57834 and 57851.

Prime Factorization of 57834

Prime Factorization of 57851

Now multiplying the highest exponent prime factors to calculate the LCM of 57834 and 57851.

LCM(57834,57851) = 2¹ × 3⁵ × 7¹ × 17¹ × 41¹ × 83¹
LCM(57834,57851) = 196809102