What is the Least Common Multiple of 68064 and 68080?

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 68080 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 68080, than apply into the LCM equation.

GCF(68064,68080) = 16
LCM(68064,68080) = ( 68064 × 68080) / 16
LCM(68064,68080) = 4633797120 / 16
LCM(68064,68080) = 289612320

Least Common Multiple (LCM) of 68064 and 68080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68064 and 68080. First we will calculate the prime factors of 68064 and 68080.

Prime Factorization of 68064

Prime Factorization of 68080

Now multiplying the highest exponent prime factors to calculate the LCM of 68064 and 68080.

LCM(68064,68080) = 2⁵ × 3¹ × 709¹ × 5¹ × 23¹ × 37¹
LCM(68064,68080) = 289612320