What is the Least Common Multiple of 70290 and 70306?

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 70290 and 70306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70290 and 70306, than apply into the LCM equation.

GCF(70290,70306) = 2
LCM(70290,70306) = ( 70290 × 70306) / 2
LCM(70290,70306) = 4941808740 / 2
LCM(70290,70306) = 2470904370

Least Common Multiple (LCM) of 70290 and 70306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70290 and 70306. First we will calculate the prime factors of 70290 and 70306.

Prime Factorization of 70290

Prime Factorization of 70306

Now multiplying the highest exponent prime factors to calculate the LCM of 70290 and 70306.

LCM(70290,70306) = 2¹ × 3² × 5¹ × 11¹ × 71¹ × 35153¹
LCM(70290,70306) = 2470904370