What is the Least Common Multiple of 57335 and 57340?

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 57335 and 57340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57335 and 57340, than apply into the LCM equation.

GCF(57335,57340) = 5
LCM(57335,57340) = ( 57335 × 57340) / 5
LCM(57335,57340) = 3287588900 / 5
LCM(57335,57340) = 657517780

Least Common Multiple (LCM) of 57335 and 57340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57335 and 57340. First we will calculate the prime factors of 57335 and 57340.

Prime Factorization of 57335

Prime Factorization of 57340

Now multiplying the highest exponent prime factors to calculate the LCM of 57335 and 57340.

LCM(57335,57340) = 5¹ × 11467¹ × 2² × 47¹ × 61¹
LCM(57335,57340) = 657517780