What is the Least Common Multiple of 57825 and 57839?

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 57825 and 57839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57825 and 57839, than apply into the LCM equation.

GCF(57825,57839) = 1
LCM(57825,57839) = ( 57825 × 57839) / 1
LCM(57825,57839) = 3344540175 / 1
LCM(57825,57839) = 3344540175

Least Common Multiple (LCM) of 57825 and 57839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57825 and 57839. First we will calculate the prime factors of 57825 and 57839.

Prime Factorization of 57825

Prime Factorization of 57839

Now multiplying the highest exponent prime factors to calculate the LCM of 57825 and 57839.

LCM(57825,57839) = 3² × 5² × 257¹ × 57839¹
LCM(57825,57839) = 3344540175