What is the Least Common Multiple of 68958 and 68973?

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 68958 and 68973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68958 and 68973, than apply into the LCM equation.

GCF(68958,68973) = 3
LCM(68958,68973) = ( 68958 × 68973) / 3
LCM(68958,68973) = 4756240134 / 3
LCM(68958,68973) = 1585413378

Least Common Multiple (LCM) of 68958 and 68973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68958 and 68973. First we will calculate the prime factors of 68958 and 68973.

Prime Factorization of 68958

Prime Factorization of 68973

Now multiplying the highest exponent prime factors to calculate the LCM of 68958 and 68973.

LCM(68958,68973) = 2¹ × 3³ × 1277¹ × 83¹ × 277¹
LCM(68958,68973) = 1585413378