What is the Least Common Multiple of 70179 and 70184?

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 70179 and 70184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70179 and 70184, than apply into the LCM equation.

GCF(70179,70184) = 1
LCM(70179,70184) = ( 70179 × 70184) / 1
LCM(70179,70184) = 4925442936 / 1
LCM(70179,70184) = 4925442936

Least Common Multiple (LCM) of 70179 and 70184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70179 and 70184. First we will calculate the prime factors of 70179 and 70184.

Prime Factorization of 70179

Prime Factorization of 70184

Now multiplying the highest exponent prime factors to calculate the LCM of 70179 and 70184.

LCM(70179,70184) = 3¹ × 149¹ × 157¹ × 2³ × 31¹ × 283¹
LCM(70179,70184) = 4925442936