What is the Least Common Multiple of 68860 and 68875?

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 68860 and 68875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68860 and 68875, than apply into the LCM equation.

GCF(68860,68875) = 5
LCM(68860,68875) = ( 68860 × 68875) / 5
LCM(68860,68875) = 4742732500 / 5
LCM(68860,68875) = 948546500

Least Common Multiple (LCM) of 68860 and 68875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68860 and 68875. First we will calculate the prime factors of 68860 and 68875.

Prime Factorization of 68860

Prime Factorization of 68875

Now multiplying the highest exponent prime factors to calculate the LCM of 68860 and 68875.

LCM(68860,68875) = 2² × 5³ × 11¹ × 313¹ × 19¹ × 29¹
LCM(68860,68875) = 948546500