What is the Least Common Multiple of 68058 and 68064?

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 68058 and 68064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68058 and 68064, than apply into the LCM equation.

GCF(68058,68064) = 6
LCM(68058,68064) = ( 68058 × 68064) / 6
LCM(68058,68064) = 4632299712 / 6
LCM(68058,68064) = 772049952

Least Common Multiple (LCM) of 68058 and 68064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68058 and 68064. First we will calculate the prime factors of 68058 and 68064.

Prime Factorization of 68058

Prime Factorization of 68064

Now multiplying the highest exponent prime factors to calculate the LCM of 68058 and 68064.

LCM(68058,68064) = 2⁵ × 3² × 19¹ × 199¹ × 709¹
LCM(68058,68064) = 772049952