What is the Least Common Multiple of 68504 and 68510?

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 68504 and 68510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68504 and 68510, than apply into the LCM equation.

GCF(68504,68510) = 2
LCM(68504,68510) = ( 68504 × 68510) / 2
LCM(68504,68510) = 4693209040 / 2
LCM(68504,68510) = 2346604520

Least Common Multiple (LCM) of 68504 and 68510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68504 and 68510. First we will calculate the prime factors of 68504 and 68510.

Prime Factorization of 68504

Prime Factorization of 68510

Now multiplying the highest exponent prime factors to calculate the LCM of 68504 and 68510.

LCM(68504,68510) = 2³ × 8563¹ × 5¹ × 13¹ × 17¹ × 31¹
LCM(68504,68510) = 2346604520