What is the Least Common Multiple of 64128 and 64143?

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 64128 and 64143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64128 and 64143, than apply into the LCM equation.

GCF(64128,64143) = 3
LCM(64128,64143) = ( 64128 × 64143) / 3
LCM(64128,64143) = 4113362304 / 3
LCM(64128,64143) = 1371120768

Least Common Multiple (LCM) of 64128 and 64143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64128 and 64143. First we will calculate the prime factors of 64128 and 64143.

Prime Factorization of 64128

Prime Factorization of 64143

Now multiplying the highest exponent prime factors to calculate the LCM of 64128 and 64143.

LCM(64128,64143) = 2⁷ × 3² × 167¹ × 7127¹
LCM(64128,64143) = 1371120768