What is the Least Common Multiple of 56295 and 56303?

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 56303 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 56303, than apply into the LCM equation.

GCF(56295,56303) = 1
LCM(56295,56303) = ( 56295 × 56303) / 1
LCM(56295,56303) = 3169577385 / 1
LCM(56295,56303) = 3169577385

Least Common Multiple (LCM) of 56295 and 56303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56295 and 56303. First we will calculate the prime factors of 56295 and 56303.

Prime Factorization of 56295

Prime Factorization of 56303

Now multiplying the highest exponent prime factors to calculate the LCM of 56295 and 56303.

LCM(56295,56303) = 3⁴ × 5¹ × 139¹ × 13¹ × 61¹ × 71¹
LCM(56295,56303) = 3169577385