What is the Least Common Multiple of 64064 and 64078?

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 64064 and 64078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64064 and 64078, than apply into the LCM equation.

GCF(64064,64078) = 14
LCM(64064,64078) = ( 64064 × 64078) / 14
LCM(64064,64078) = 4105092992 / 14
LCM(64064,64078) = 293220928

Least Common Multiple (LCM) of 64064 and 64078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64064 and 64078. First we will calculate the prime factors of 64064 and 64078.

Prime Factorization of 64064

Prime Factorization of 64078

Now multiplying the highest exponent prime factors to calculate the LCM of 64064 and 64078.

LCM(64064,64078) = 2⁶ × 7¹ × 11¹ × 13¹ × 23¹ × 199¹
LCM(64064,64078) = 293220928