What is the Least Common Multiple of 35007 and 35014?

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 35007 and 35014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35007 and 35014, than apply into the LCM equation.

GCF(35007,35014) = 7
LCM(35007,35014) = ( 35007 × 35014) / 7
LCM(35007,35014) = 1225735098 / 7
LCM(35007,35014) = 175105014

Least Common Multiple (LCM) of 35007 and 35014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35007 and 35014. First we will calculate the prime factors of 35007 and 35014.

Prime Factorization of 35007

Prime Factorization of 35014

Now multiplying the highest exponent prime factors to calculate the LCM of 35007 and 35014.

LCM(35007,35014) = 3¹ × 7¹ × 1667¹ × 2¹ × 41¹ × 61¹
LCM(35007,35014) = 175105014