What is the Least Common Multiple of 72300 and 72305?

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 72300 and 72305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72300 and 72305, than apply into the LCM equation.

GCF(72300,72305) = 5
LCM(72300,72305) = ( 72300 × 72305) / 5
LCM(72300,72305) = 5227651500 / 5
LCM(72300,72305) = 1045530300

Least Common Multiple (LCM) of 72300 and 72305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72300 and 72305. First we will calculate the prime factors of 72300 and 72305.

Prime Factorization of 72300

Prime Factorization of 72305

Now multiplying the highest exponent prime factors to calculate the LCM of 72300 and 72305.

LCM(72300,72305) = 2² × 3¹ × 5² × 241¹ × 14461¹
LCM(72300,72305) = 1045530300