What is the Least Common Multiple of 68096 and 68114?

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 68096 and 68114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68096 and 68114, than apply into the LCM equation.

GCF(68096,68114) = 2
LCM(68096,68114) = ( 68096 × 68114) / 2
LCM(68096,68114) = 4638290944 / 2
LCM(68096,68114) = 2319145472

Least Common Multiple (LCM) of 68096 and 68114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68096 and 68114. First we will calculate the prime factors of 68096 and 68114.

Prime Factorization of 68096

Prime Factorization of 68114

Now multiplying the highest exponent prime factors to calculate the LCM of 68096 and 68114.

LCM(68096,68114) = 2⁹ × 7¹ × 19¹ × 34057¹
LCM(68096,68114) = 2319145472