What is the Least Common Multiple of 5355 and 5364?

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 5364 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 5364, than apply into the LCM equation.

GCF(5355,5364) = 9
LCM(5355,5364) = ( 5355 × 5364) / 9
LCM(5355,5364) = 28724220 / 9
LCM(5355,5364) = 3191580

Least Common Multiple (LCM) of 5355 and 5364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5355 and 5364. First we will calculate the prime factors of 5355 and 5364.

Prime Factorization of 5355

Prime Factorization of 5364

Now multiplying the highest exponent prime factors to calculate the LCM of 5355 and 5364.

LCM(5355,5364) = 3² × 5¹ × 7¹ × 17¹ × 2² × 149¹
LCM(5355,5364) = 3191580