What is the Least Common Multiple of 57782 and 57790?

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 57782 and 57790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57782 and 57790, than apply into the LCM equation.

GCF(57782,57790) = 2
LCM(57782,57790) = ( 57782 × 57790) / 2
LCM(57782,57790) = 3339221780 / 2
LCM(57782,57790) = 1669610890

Least Common Multiple (LCM) of 57782 and 57790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57782 and 57790. First we will calculate the prime factors of 57782 and 57790.

Prime Factorization of 57782

Prime Factorization of 57790

Now multiplying the highest exponent prime factors to calculate the LCM of 57782 and 57790.

LCM(57782,57790) = 2¹ × 167¹ × 173¹ × 5¹ × 5779¹
LCM(57782,57790) = 1669610890