What is the Least Common Multiple of 70014 and 70020?

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 70014 and 70020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70014 and 70020, than apply into the LCM equation.

GCF(70014,70020) = 6
LCM(70014,70020) = ( 70014 × 70020) / 6
LCM(70014,70020) = 4902380280 / 6
LCM(70014,70020) = 817063380

Least Common Multiple (LCM) of 70014 and 70020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70014 and 70020. First we will calculate the prime factors of 70014 and 70020.

Prime Factorization of 70014

Prime Factorization of 70020

Now multiplying the highest exponent prime factors to calculate the LCM of 70014 and 70020.

LCM(70014,70020) = 2² × 3² × 7¹ × 1667¹ × 5¹ × 389¹
LCM(70014,70020) = 817063380