What is the Least Common Multiple of 57296 and 57301?

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 57296 and 57301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57296 and 57301, than apply into the LCM equation.

GCF(57296,57301) = 1
LCM(57296,57301) = ( 57296 × 57301) / 1
LCM(57296,57301) = 3283118096 / 1
LCM(57296,57301) = 3283118096

Least Common Multiple (LCM) of 57296 and 57301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57296 and 57301. First we will calculate the prime factors of 57296 and 57301.

Prime Factorization of 57296

Prime Factorization of 57301

Now multiplying the highest exponent prime factors to calculate the LCM of 57296 and 57301.

LCM(57296,57301) = 2⁴ × 3581¹ × 57301¹
LCM(57296,57301) = 3283118096