What is the Least Common Multiple of 68310 and 68320?

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 68310 and 68320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68310 and 68320, than apply into the LCM equation.

GCF(68310,68320) = 10
LCM(68310,68320) = ( 68310 × 68320) / 10
LCM(68310,68320) = 4666939200 / 10
LCM(68310,68320) = 466693920

Least Common Multiple (LCM) of 68310 and 68320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68310 and 68320. First we will calculate the prime factors of 68310 and 68320.

Prime Factorization of 68310

Prime Factorization of 68320

Now multiplying the highest exponent prime factors to calculate the LCM of 68310 and 68320.

LCM(68310,68320) = 2⁵ × 3³ × 5¹ × 11¹ × 23¹ × 7¹ × 61¹
LCM(68310,68320) = 466693920