What is the Least Common Multiple of 68016 and 68034?

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 68034 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 68034, than apply into the LCM equation.

GCF(68016,68034) = 6
LCM(68016,68034) = ( 68016 × 68034) / 6
LCM(68016,68034) = 4627400544 / 6
LCM(68016,68034) = 771233424

Least Common Multiple (LCM) of 68016 and 68034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68016 and 68034. First we will calculate the prime factors of 68016 and 68034.

Prime Factorization of 68016

Prime Factorization of 68034

Now multiplying the highest exponent prime factors to calculate the LCM of 68016 and 68034.

LCM(68016,68034) = 2⁴ × 3¹ × 13¹ × 109¹ × 17¹ × 23¹ × 29¹
LCM(68016,68034) = 771233424