What is the Least Common Multiple of 70096 and 70116?

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 70096 and 70116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70096 and 70116, than apply into the LCM equation.

GCF(70096,70116) = 4
LCM(70096,70116) = ( 70096 × 70116) / 4
LCM(70096,70116) = 4914851136 / 4
LCM(70096,70116) = 1228712784

Least Common Multiple (LCM) of 70096 and 70116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70096 and 70116. First we will calculate the prime factors of 70096 and 70116.

Prime Factorization of 70096

Prime Factorization of 70116

Now multiplying the highest exponent prime factors to calculate the LCM of 70096 and 70116.

LCM(70096,70116) = 2⁴ × 13¹ × 337¹ × 3¹ × 5843¹
LCM(70096,70116) = 1228712784