What is the Least Common Multiple of 64295 and 64303?

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 64295 and 64303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64295 and 64303, than apply into the LCM equation.

GCF(64295,64303) = 1
LCM(64295,64303) = ( 64295 × 64303) / 1
LCM(64295,64303) = 4134361385 / 1
LCM(64295,64303) = 4134361385

Least Common Multiple (LCM) of 64295 and 64303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64295 and 64303. First we will calculate the prime factors of 64295 and 64303.

Prime Factorization of 64295

Prime Factorization of 64303

Now multiplying the highest exponent prime factors to calculate the LCM of 64295 and 64303.

LCM(64295,64303) = 5¹ × 7¹ × 11¹ × 167¹ × 64303¹
LCM(64295,64303) = 4134361385