What is the Least Common Multiple of 64378 and 64382?

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 64378 and 64382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64378 and 64382, than apply into the LCM equation.

GCF(64378,64382) = 2
LCM(64378,64382) = ( 64378 × 64382) / 2
LCM(64378,64382) = 4144784396 / 2
LCM(64378,64382) = 2072392198

Least Common Multiple (LCM) of 64378 and 64382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64378 and 64382. First we will calculate the prime factors of 64378 and 64382.

Prime Factorization of 64378

Prime Factorization of 64382

Now multiplying the highest exponent prime factors to calculate the LCM of 64378 and 64382.

LCM(64378,64382) = 2¹ × 32189¹ × 32191¹
LCM(64378,64382) = 2072392198