What is the Least Common Multiple of 70214 and 70234?

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 70214 and 70234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70214 and 70234, than apply into the LCM equation.

GCF(70214,70234) = 2
LCM(70214,70234) = ( 70214 × 70234) / 2
LCM(70214,70234) = 4931410076 / 2
LCM(70214,70234) = 2465705038

Least Common Multiple (LCM) of 70214 and 70234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70214 and 70234. First we will calculate the prime factors of 70214 and 70234.

Prime Factorization of 70214

Prime Factorization of 70234

Now multiplying the highest exponent prime factors to calculate the LCM of 70214 and 70234.

LCM(70214,70234) = 2¹ × 35107¹ × 35117¹
LCM(70214,70234) = 2465705038