What is the Least Common Multiple of 68750 and 68770?

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 68750 and 68770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68750 and 68770, than apply into the LCM equation.

GCF(68750,68770) = 10
LCM(68750,68770) = ( 68750 × 68770) / 10
LCM(68750,68770) = 4727937500 / 10
LCM(68750,68770) = 472793750

Least Common Multiple (LCM) of 68750 and 68770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68750 and 68770. First we will calculate the prime factors of 68750 and 68770.

Prime Factorization of 68750

Prime Factorization of 68770

Now multiplying the highest exponent prime factors to calculate the LCM of 68750 and 68770.

LCM(68750,68770) = 2¹ × 5⁵ × 11¹ × 13¹ × 23²
LCM(68750,68770) = 472793750