What is the Least Common Multiple of 64806 and 64815?

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 64806 and 64815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64806 and 64815, than apply into the LCM equation.

GCF(64806,64815) = 3
LCM(64806,64815) = ( 64806 × 64815) / 3
LCM(64806,64815) = 4200400890 / 3
LCM(64806,64815) = 1400133630

Least Common Multiple (LCM) of 64806 and 64815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64806 and 64815. First we will calculate the prime factors of 64806 and 64815.

Prime Factorization of 64806

Prime Factorization of 64815

Now multiplying the highest exponent prime factors to calculate the LCM of 64806 and 64815.

LCM(64806,64815) = 2¹ × 3¹ × 7¹ × 1543¹ × 5¹ × 29¹ × 149¹
LCM(64806,64815) = 1400133630