What is the Least Common Multiple of 68304 and 68310?

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 68304 and 68310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68304 and 68310, than apply into the LCM equation.

GCF(68304,68310) = 6
LCM(68304,68310) = ( 68304 × 68310) / 6
LCM(68304,68310) = 4665846240 / 6
LCM(68304,68310) = 777641040

Least Common Multiple (LCM) of 68304 and 68310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68304 and 68310. First we will calculate the prime factors of 68304 and 68310.

Prime Factorization of 68304

Prime Factorization of 68310

Now multiplying the highest exponent prime factors to calculate the LCM of 68304 and 68310.

LCM(68304,68310) = 2⁴ × 3³ × 1423¹ × 5¹ × 11¹ × 23¹
LCM(68304,68310) = 777641040