What is the Least Common Multiple of 60300 and 60305?

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 60300 and 60305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60300 and 60305, than apply into the LCM equation.

GCF(60300,60305) = 5
LCM(60300,60305) = ( 60300 × 60305) / 5
LCM(60300,60305) = 3636391500 / 5
LCM(60300,60305) = 727278300

Least Common Multiple (LCM) of 60300 and 60305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60300 and 60305. First we will calculate the prime factors of 60300 and 60305.

Prime Factorization of 60300

Prime Factorization of 60305

Now multiplying the highest exponent prime factors to calculate the LCM of 60300 and 60305.

LCM(60300,60305) = 2² × 3² × 5² × 67¹ × 7¹ × 1723¹
LCM(60300,60305) = 727278300