What is the Least Common Multiple of 84064 and 84078?

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 84064 and 84078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84064 and 84078, than apply into the LCM equation.

GCF(84064,84078) = 2
LCM(84064,84078) = ( 84064 × 84078) / 2
LCM(84064,84078) = 7067932992 / 2
LCM(84064,84078) = 3533966496

Least Common Multiple (LCM) of 84064 and 84078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84064 and 84078. First we will calculate the prime factors of 84064 and 84078.

Prime Factorization of 84064

Prime Factorization of 84078

Now multiplying the highest exponent prime factors to calculate the LCM of 84064 and 84078.

LCM(84064,84078) = 2⁵ × 37¹ × 71¹ × 3⁵ × 173¹
LCM(84064,84078) = 3533966496