What is the Least Common Multiple of 57364 and 57369?

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 57364 and 57369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57364 and 57369, than apply into the LCM equation.

GCF(57364,57369) = 1
LCM(57364,57369) = ( 57364 × 57369) / 1
LCM(57364,57369) = 3290915316 / 1
LCM(57364,57369) = 3290915316

Least Common Multiple (LCM) of 57364 and 57369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57364 and 57369. First we will calculate the prime factors of 57364 and 57369.

Prime Factorization of 57364

Prime Factorization of 57369

Now multiplying the highest exponent prime factors to calculate the LCM of 57364 and 57369.

LCM(57364,57369) = 2² × 14341¹ × 3¹ × 13¹ × 1471¹
LCM(57364,57369) = 3290915316