What is the Least Common Multiple of 64845 and 64851?

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 64851 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 64851, than apply into the LCM equation.

GCF(64845,64851) = 3
LCM(64845,64851) = ( 64845 × 64851) / 3
LCM(64845,64851) = 4205263095 / 3
LCM(64845,64851) = 1401754365

Least Common Multiple (LCM) of 64845 and 64851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64845 and 64851. First we will calculate the prime factors of 64845 and 64851.

Prime Factorization of 64845

Prime Factorization of 64851

Now multiplying the highest exponent prime factors to calculate the LCM of 64845 and 64851.

LCM(64845,64851) = 3² × 5¹ × 11¹ × 131¹ × 21617¹
LCM(64845,64851) = 1401754365