What is the Least Common Multiple of 57330 and 57349?

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 57330 and 57349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57330 and 57349, than apply into the LCM equation.

GCF(57330,57349) = 1
LCM(57330,57349) = ( 57330 × 57349) / 1
LCM(57330,57349) = 3287818170 / 1
LCM(57330,57349) = 3287818170

Least Common Multiple (LCM) of 57330 and 57349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57330 and 57349. First we will calculate the prime factors of 57330 and 57349.

Prime Factorization of 57330

Prime Factorization of 57349

Now multiplying the highest exponent prime factors to calculate the LCM of 57330 and 57349.

LCM(57330,57349) = 2¹ × 3² × 5¹ × 7² × 13¹ × 57349¹
LCM(57330,57349) = 3287818170