What is the Least Common Multiple of 70826 and 70844?

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 70826 and 70844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70826 and 70844, than apply into the LCM equation.

GCF(70826,70844) = 2
LCM(70826,70844) = ( 70826 × 70844) / 2
LCM(70826,70844) = 5017597144 / 2
LCM(70826,70844) = 2508798572

Least Common Multiple (LCM) of 70826 and 70844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70826 and 70844. First we will calculate the prime factors of 70826 and 70844.

Prime Factorization of 70826

Prime Factorization of 70844

Now multiplying the highest exponent prime factors to calculate the LCM of 70826 and 70844.

LCM(70826,70844) = 2² × 7¹ × 5059¹ × 89¹ × 199¹
LCM(70826,70844) = 2508798572