What is the Least Common Multiple of 68895 and 68902?

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 68895 and 68902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68895 and 68902, than apply into the LCM equation.

GCF(68895,68902) = 1
LCM(68895,68902) = ( 68895 × 68902) / 1
LCM(68895,68902) = 4747003290 / 1
LCM(68895,68902) = 4747003290

Least Common Multiple (LCM) of 68895 and 68902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68895 and 68902. First we will calculate the prime factors of 68895 and 68902.

Prime Factorization of 68895

Prime Factorization of 68902

Now multiplying the highest exponent prime factors to calculate the LCM of 68895 and 68902.

LCM(68895,68902) = 3² × 5¹ × 1531¹ × 2¹ × 47¹ × 733¹
LCM(68895,68902) = 4747003290