What is the Least Common Multiple of 57775 and 57783?

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 57775 and 57783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57775 and 57783, than apply into the LCM equation.

GCF(57775,57783) = 1
LCM(57775,57783) = ( 57775 × 57783) / 1
LCM(57775,57783) = 3338412825 / 1
LCM(57775,57783) = 3338412825

Least Common Multiple (LCM) of 57775 and 57783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57775 and 57783. First we will calculate the prime factors of 57775 and 57783.

Prime Factorization of 57775

Prime Factorization of 57783

Now multiplying the highest exponent prime factors to calculate the LCM of 57775 and 57783.

LCM(57775,57783) = 5² × 2311¹ × 3¹ × 11¹ × 17¹ × 103¹
LCM(57775,57783) = 3338412825