What is the Least Common Multiple of 65845 and 65863?

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 65845 and 65863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65845 and 65863, than apply into the LCM equation.

GCF(65845,65863) = 1
LCM(65845,65863) = ( 65845 × 65863) / 1
LCM(65845,65863) = 4336749235 / 1
LCM(65845,65863) = 4336749235

Least Common Multiple (LCM) of 65845 and 65863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65845 and 65863. First we will calculate the prime factors of 65845 and 65863.

Prime Factorization of 65845

Prime Factorization of 65863

Now multiplying the highest exponent prime factors to calculate the LCM of 65845 and 65863.

LCM(65845,65863) = 5¹ × 13¹ × 1013¹ × 7¹ × 97²
LCM(65845,65863) = 4336749235