What is the Least Common Multiple of 68510 and 68524?

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 68510 and 68524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68510 and 68524, than apply into the LCM equation.

GCF(68510,68524) = 2
LCM(68510,68524) = ( 68510 × 68524) / 2
LCM(68510,68524) = 4694579240 / 2
LCM(68510,68524) = 2347289620

Least Common Multiple (LCM) of 68510 and 68524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68510 and 68524. First we will calculate the prime factors of 68510 and 68524.

Prime Factorization of 68510

Prime Factorization of 68524

Now multiplying the highest exponent prime factors to calculate the LCM of 68510 and 68524.

LCM(68510,68524) = 2² × 5¹ × 13¹ × 17¹ × 31¹ × 37¹ × 463¹
LCM(68510,68524) = 2347289620