What is the Least Common Multiple of 35136 and 35151?

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 35136 and 35151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35136 and 35151, than apply into the LCM equation.

GCF(35136,35151) = 3
LCM(35136,35151) = ( 35136 × 35151) / 3
LCM(35136,35151) = 1235065536 / 3
LCM(35136,35151) = 411688512

Least Common Multiple (LCM) of 35136 and 35151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35136 and 35151. First we will calculate the prime factors of 35136 and 35151.

Prime Factorization of 35136

Prime Factorization of 35151

Now multiplying the highest exponent prime factors to calculate the LCM of 35136 and 35151.

LCM(35136,35151) = 2⁶ × 3² × 61¹ × 11717¹
LCM(35136,35151) = 411688512