What is the Least Common Multiple of 57905 and 57922?

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 57905 and 57922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57905 and 57922, than apply into the LCM equation.

GCF(57905,57922) = 1
LCM(57905,57922) = ( 57905 × 57922) / 1
LCM(57905,57922) = 3353973410 / 1
LCM(57905,57922) = 3353973410

Least Common Multiple (LCM) of 57905 and 57922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57905 and 57922. First we will calculate the prime factors of 57905 and 57922.

Prime Factorization of 57905

Prime Factorization of 57922

Now multiplying the highest exponent prime factors to calculate the LCM of 57905 and 57922.

LCM(57905,57922) = 5¹ × 37¹ × 313¹ × 2¹ × 28961¹
LCM(57905,57922) = 3353973410