GCF and LCM Calculator Logo

What is the Least Common Multiple of 68053 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 (LCM) of 68053 and 68064 is 4631959392.

LCM(68053,68064) = 4631959392

LCM Calculator and
and

Least Common Multiple of 68053 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 68053 and 68064, than apply into the LCM equation.

GCF(68053,68064) = 1
LCM(68053,68064) = ( 68053 × 68064) / 1
LCM(68053,68064) = 4631959392 / 1
LCM(68053,68064) = 4631959392

Least Common Multiple (LCM) of 68053 and 68064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68053 and 68064. First we will calculate the prime factors of 68053 and 68064.

Prime Factorization of 68053

Prime factors of 68053 are 68053. Prime factorization of 68053 in exponential form is:

68053 = 680531

Prime Factorization of 68064

Prime factors of 68064 are 2, 3, 709. Prime factorization of 68064 in exponential form is:

68064 = 25 × 31 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 68053 and 68064.

LCM(68053,68064) = 680531 × 25 × 31 × 7091
LCM(68053,68064) = 4631959392