What is the Least Common Multiple of 8014 and 8034?

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 8014 and 8034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8014 and 8034, than apply into the LCM equation.

GCF(8014,8034) = 2
LCM(8014,8034) = ( 8014 × 8034) / 2
LCM(8014,8034) = 64384476 / 2
LCM(8014,8034) = 32192238

Least Common Multiple (LCM) of 8014 and 8034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8014 and 8034. First we will calculate the prime factors of 8014 and 8034.

Prime Factorization of 8014

Prime Factorization of 8034

Now multiplying the highest exponent prime factors to calculate the LCM of 8014 and 8034.

LCM(8014,8034) = 2¹ × 4007¹ × 3¹ × 13¹ × 103¹
LCM(8014,8034) = 32192238