What is the Least Common Multiple of 68064 and 68074?

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 68064 and 68074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68064 and 68074, than apply into the LCM equation.

GCF(68064,68074) = 2
LCM(68064,68074) = ( 68064 × 68074) / 2
LCM(68064,68074) = 4633388736 / 2
LCM(68064,68074) = 2316694368

Least Common Multiple (LCM) of 68064 and 68074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68064 and 68074. First we will calculate the prime factors of 68064 and 68074.

Prime Factorization of 68064

Prime Factorization of 68074

Now multiplying the highest exponent prime factors to calculate the LCM of 68064 and 68074.

LCM(68064,68074) = 2⁵ × 3¹ × 709¹ × 101¹ × 337¹
LCM(68064,68074) = 2316694368