What is the Least Common Multiple of 52300 and 52305?

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 52300 and 52305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52300 and 52305, than apply into the LCM equation.

GCF(52300,52305) = 5
LCM(52300,52305) = ( 52300 × 52305) / 5
LCM(52300,52305) = 2735551500 / 5
LCM(52300,52305) = 547110300

Least Common Multiple (LCM) of 52300 and 52305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52300 and 52305. First we will calculate the prime factors of 52300 and 52305.

Prime Factorization of 52300

Prime Factorization of 52305

Now multiplying the highest exponent prime factors to calculate the LCM of 52300 and 52305.

LCM(52300,52305) = 2² × 5² × 523¹ × 3¹ × 11¹ × 317¹
LCM(52300,52305) = 547110300