What is the Least Common Multiple of 64828 and 64847?

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 64828 and 64847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64828 and 64847, than apply into the LCM equation.

GCF(64828,64847) = 19
LCM(64828,64847) = ( 64828 × 64847) / 19
LCM(64828,64847) = 4203901316 / 19
LCM(64828,64847) = 221257964

Least Common Multiple (LCM) of 64828 and 64847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64828 and 64847. First we will calculate the prime factors of 64828 and 64847.

Prime Factorization of 64828

Prime Factorization of 64847

Now multiplying the highest exponent prime factors to calculate the LCM of 64828 and 64847.

LCM(64828,64847) = 2² × 19¹ × 853¹ × 3413¹
LCM(64828,64847) = 221257964