What is the Least Common Multiple of 57140 and 57154?

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 57140 and 57154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57140 and 57154, than apply into the LCM equation.

GCF(57140,57154) = 2
LCM(57140,57154) = ( 57140 × 57154) / 2
LCM(57140,57154) = 3265779560 / 2
LCM(57140,57154) = 1632889780

Least Common Multiple (LCM) of 57140 and 57154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57140 and 57154. First we will calculate the prime factors of 57140 and 57154.

Prime Factorization of 57140

Prime Factorization of 57154

Now multiplying the highest exponent prime factors to calculate the LCM of 57140 and 57154.

LCM(57140,57154) = 2² × 5¹ × 2857¹ × 17¹ × 41²
LCM(57140,57154) = 1632889780