What is the Least Common Multiple of 56295 and 56304?

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 56295 and 56304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56295 and 56304, than apply into the LCM equation.

GCF(56295,56304) = 9
LCM(56295,56304) = ( 56295 × 56304) / 9
LCM(56295,56304) = 3169633680 / 9
LCM(56295,56304) = 352181520

Least Common Multiple (LCM) of 56295 and 56304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56295 and 56304. First we will calculate the prime factors of 56295 and 56304.

Prime Factorization of 56295

Prime Factorization of 56304

Now multiplying the highest exponent prime factors to calculate the LCM of 56295 and 56304.

LCM(56295,56304) = 3⁴ × 5¹ × 139¹ × 2⁴ × 17¹ × 23¹
LCM(56295,56304) = 352181520