What is the Least Common Multiple of 68770 and 68782?

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 68770 and 68782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68770 and 68782, than apply into the LCM equation.

GCF(68770,68782) = 2
LCM(68770,68782) = ( 68770 × 68782) / 2
LCM(68770,68782) = 4730138140 / 2
LCM(68770,68782) = 2365069070

Least Common Multiple (LCM) of 68770 and 68782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68770 and 68782. First we will calculate the prime factors of 68770 and 68782.

Prime Factorization of 68770

Prime Factorization of 68782

Now multiplying the highest exponent prime factors to calculate the LCM of 68770 and 68782.

LCM(68770,68782) = 2¹ × 5¹ × 13¹ × 23² × 7¹ × 17³
LCM(68770,68782) = 2365069070