What is the Least Common Multiple of 64845 and 64863?

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 64845 and 64863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64845 and 64863, than apply into the LCM equation.

GCF(64845,64863) = 9
LCM(64845,64863) = ( 64845 × 64863) / 9
LCM(64845,64863) = 4206041235 / 9
LCM(64845,64863) = 467337915

Least Common Multiple (LCM) of 64845 and 64863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64845 and 64863. First we will calculate the prime factors of 64845 and 64863.

Prime Factorization of 64845

Prime Factorization of 64863

Now multiplying the highest exponent prime factors to calculate the LCM of 64845 and 64863.

LCM(64845,64863) = 3² × 5¹ × 11¹ × 131¹ × 7207¹
LCM(64845,64863) = 467337915