What is the Least Common Multiple of 56235 and 56239?

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 56235 and 56239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56235 and 56239, than apply into the LCM equation.

GCF(56235,56239) = 1
LCM(56235,56239) = ( 56235 × 56239) / 1
LCM(56235,56239) = 3162600165 / 1
LCM(56235,56239) = 3162600165

Least Common Multiple (LCM) of 56235 and 56239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56235 and 56239. First we will calculate the prime factors of 56235 and 56239.

Prime Factorization of 56235

Prime Factorization of 56239

Now multiplying the highest exponent prime factors to calculate the LCM of 56235 and 56239.

LCM(56235,56239) = 3¹ × 5¹ × 23¹ × 163¹ × 56239¹
LCM(56235,56239) = 3162600165