What is the Least Common Multiple of 96300 and 96305?

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 96300 and 96305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96300 and 96305, than apply into the LCM equation.

GCF(96300,96305) = 5
LCM(96300,96305) = ( 96300 × 96305) / 5
LCM(96300,96305) = 9274171500 / 5
LCM(96300,96305) = 1854834300

Least Common Multiple (LCM) of 96300 and 96305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96300 and 96305. First we will calculate the prime factors of 96300 and 96305.

Prime Factorization of 96300

Prime Factorization of 96305

Now multiplying the highest exponent prime factors to calculate the LCM of 96300 and 96305.

LCM(96300,96305) = 2² × 3² × 5² × 107¹ × 11¹ × 17¹ × 103¹
LCM(96300,96305) = 1854834300