What is the Least Common Multiple of 5355 and 5375?

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 5355 and 5375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5355 and 5375, than apply into the LCM equation.

GCF(5355,5375) = 5
LCM(5355,5375) = ( 5355 × 5375) / 5
LCM(5355,5375) = 28783125 / 5
LCM(5355,5375) = 5756625

Least Common Multiple (LCM) of 5355 and 5375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5355 and 5375. First we will calculate the prime factors of 5355 and 5375.

Prime Factorization of 5355

Prime Factorization of 5375

Now multiplying the highest exponent prime factors to calculate the LCM of 5355 and 5375.

LCM(5355,5375) = 3² × 5³ × 7¹ × 17¹ × 43¹
LCM(5355,5375) = 5756625