What is the Least Common Multiple of 35164 and 35183?

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 35164 and 35183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35164 and 35183, than apply into the LCM equation.

GCF(35164,35183) = 1
LCM(35164,35183) = ( 35164 × 35183) / 1
LCM(35164,35183) = 1237175012 / 1
LCM(35164,35183) = 1237175012

Least Common Multiple (LCM) of 35164 and 35183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35164 and 35183. First we will calculate the prime factors of 35164 and 35183.

Prime Factorization of 35164

Prime Factorization of 35183

Now multiplying the highest exponent prime factors to calculate the LCM of 35164 and 35183.

LCM(35164,35183) = 2² × 59¹ × 149¹ × 151¹ × 233¹
LCM(35164,35183) = 1237175012