What is the Least Common Multiple of 35235 and 35239?

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 35235 and 35239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35235 and 35239, than apply into the LCM equation.

GCF(35235,35239) = 1
LCM(35235,35239) = ( 35235 × 35239) / 1
LCM(35235,35239) = 1241646165 / 1
LCM(35235,35239) = 1241646165

Least Common Multiple (LCM) of 35235 and 35239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35235 and 35239. First we will calculate the prime factors of 35235 and 35239.

Prime Factorization of 35235

Prime Factorization of 35239

Now multiplying the highest exponent prime factors to calculate the LCM of 35235 and 35239.

LCM(35235,35239) = 3⁵ × 5¹ × 29¹ × 131¹ × 269¹
LCM(35235,35239) = 1241646165