What is the Least Common Multiple of 70000 and 70014?

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 70000 and 70014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70000 and 70014, than apply into the LCM equation.

GCF(70000,70014) = 14
LCM(70000,70014) = ( 70000 × 70014) / 14
LCM(70000,70014) = 4900980000 / 14
LCM(70000,70014) = 350070000

Least Common Multiple (LCM) of 70000 and 70014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70000 and 70014. First we will calculate the prime factors of 70000 and 70014.

Prime Factorization of 70000

Prime Factorization of 70014

Now multiplying the highest exponent prime factors to calculate the LCM of 70000 and 70014.

LCM(70000,70014) = 2⁴ × 5⁴ × 7¹ × 3¹ × 1667¹
LCM(70000,70014) = 350070000