What is the Least Common Multiple of 68016 and 68036?

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 68016 and 68036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68016 and 68036, than apply into the LCM equation.

GCF(68016,68036) = 4
LCM(68016,68036) = ( 68016 × 68036) / 4
LCM(68016,68036) = 4627536576 / 4
LCM(68016,68036) = 1156884144

Least Common Multiple (LCM) of 68016 and 68036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68016 and 68036. First we will calculate the prime factors of 68016 and 68036.

Prime Factorization of 68016

Prime Factorization of 68036

Now multiplying the highest exponent prime factors to calculate the LCM of 68016 and 68036.

LCM(68016,68036) = 2⁴ × 3¹ × 13¹ × 109¹ × 73¹ × 233¹
LCM(68016,68036) = 1156884144