What is the Least Common Multiple of 60300 and 60314?

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 60314 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 60314, than apply into the LCM equation.

GCF(60300,60314) = 2
LCM(60300,60314) = ( 60300 × 60314) / 2
LCM(60300,60314) = 3636934200 / 2
LCM(60300,60314) = 1818467100

Least Common Multiple (LCM) of 60300 and 60314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60300 and 60314. First we will calculate the prime factors of 60300 and 60314.

Prime Factorization of 60300

Prime Factorization of 60314

Now multiplying the highest exponent prime factors to calculate the LCM of 60300 and 60314.

LCM(60300,60314) = 2² × 3² × 5² × 67¹ × 53¹ × 569¹
LCM(60300,60314) = 1818467100