What is the Least Common Multiple of 68808 and 68817?

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 68808 and 68817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68808 and 68817, than apply into the LCM equation.

GCF(68808,68817) = 3
LCM(68808,68817) = ( 68808 × 68817) / 3
LCM(68808,68817) = 4735160136 / 3
LCM(68808,68817) = 1578386712

Least Common Multiple (LCM) of 68808 and 68817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68808 and 68817. First we will calculate the prime factors of 68808 and 68817.

Prime Factorization of 68808

Prime Factorization of 68817

Now multiplying the highest exponent prime factors to calculate the LCM of 68808 and 68817.

LCM(68808,68817) = 2³ × 3¹ × 47¹ × 61¹ × 7¹ × 29¹ × 113¹
LCM(68808,68817) = 1578386712