GCF and LCM Calculator Logo

What is the Least Common Multiple of 68524 and 68536?

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 68524 and 68536 is 1174090216.

LCM(68524,68536) = 1174090216

LCM Calculator and
and

Least Common Multiple of 68524 and 68536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68524 and 68536, than apply into the LCM equation.

GCF(68524,68536) = 4
LCM(68524,68536) = ( 68524 × 68536) / 4
LCM(68524,68536) = 4696360864 / 4
LCM(68524,68536) = 1174090216

Least Common Multiple (LCM) of 68524 and 68536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68524 and 68536. First we will calculate the prime factors of 68524 and 68536.

Prime Factorization of 68524

Prime factors of 68524 are 2, 37, 463. Prime factorization of 68524 in exponential form is:

68524 = 22 × 371 × 4631

Prime Factorization of 68536

Prime factors of 68536 are 2, 13, 659. Prime factorization of 68536 in exponential form is:

68536 = 23 × 131 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 68524 and 68536.

LCM(68524,68536) = 23 × 371 × 4631 × 131 × 6591
LCM(68524,68536) = 1174090216