What is the Least Common Multiple of 70686 and 70703?

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 70686 and 70703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70686 and 70703, than apply into the LCM equation.

GCF(70686,70703) = 17
LCM(70686,70703) = ( 70686 × 70703) / 17
LCM(70686,70703) = 4997712258 / 17
LCM(70686,70703) = 293983074

Least Common Multiple (LCM) of 70686 and 70703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70686 and 70703. First we will calculate the prime factors of 70686 and 70703.

Prime Factorization of 70686

Prime Factorization of 70703

Now multiplying the highest exponent prime factors to calculate the LCM of 70686 and 70703.

LCM(70686,70703) = 2¹ × 3³ × 7¹ × 11¹ × 17¹ × 4159¹
LCM(70686,70703) = 293983074