What is the Least Common Multiple of 57905 and 57920?

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 57920 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 57920, than apply into the LCM equation.

GCF(57905,57920) = 5
LCM(57905,57920) = ( 57905 × 57920) / 5
LCM(57905,57920) = 3353857600 / 5
LCM(57905,57920) = 670771520

Least Common Multiple (LCM) of 57905 and 57920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57905 and 57920. First we will calculate the prime factors of 57905 and 57920.

Prime Factorization of 57905

Prime Factorization of 57920

Now multiplying the highest exponent prime factors to calculate the LCM of 57905 and 57920.

LCM(57905,57920) = 5¹ × 37¹ × 313¹ × 2⁶ × 181¹
LCM(57905,57920) = 670771520