What is the Least Common Multiple of 35116 and 35136?

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 35116 and 35136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35116 and 35136, than apply into the LCM equation.

GCF(35116,35136) = 4
LCM(35116,35136) = ( 35116 × 35136) / 4
LCM(35116,35136) = 1233835776 / 4
LCM(35116,35136) = 308458944

Least Common Multiple (LCM) of 35116 and 35136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35116 and 35136. First we will calculate the prime factors of 35116 and 35136.

Prime Factorization of 35116

Prime Factorization of 35136

Now multiplying the highest exponent prime factors to calculate the LCM of 35116 and 35136.

LCM(35116,35136) = 2⁶ × 8779¹ × 3² × 61¹
LCM(35116,35136) = 308458944