What is the Least Common Multiple of 57398 and 57411?

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 57398 and 57411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57398 and 57411, than apply into the LCM equation.

GCF(57398,57411) = 1
LCM(57398,57411) = ( 57398 × 57411) / 1
LCM(57398,57411) = 3295276578 / 1
LCM(57398,57411) = 3295276578

Least Common Multiple (LCM) of 57398 and 57411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57398 and 57411. First we will calculate the prime factors of 57398 and 57411.

Prime Factorization of 57398

Prime Factorization of 57411

Now multiplying the highest exponent prime factors to calculate the LCM of 57398 and 57411.

LCM(57398,57411) = 2¹ × 11¹ × 2609¹ × 3² × 6379¹
LCM(57398,57411) = 3295276578