GCF and LCM Calculator Logo

What is the Least Common Multiple of 68522 and 68535?

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 68522 and 68535 is 4696155270.

LCM(68522,68535) = 4696155270

LCM Calculator and
and

Least Common Multiple of 68522 and 68535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68522 and 68535, than apply into the LCM equation.

GCF(68522,68535) = 1
LCM(68522,68535) = ( 68522 × 68535) / 1
LCM(68522,68535) = 4696155270 / 1
LCM(68522,68535) = 4696155270

Least Common Multiple (LCM) of 68522 and 68535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68522 and 68535. First we will calculate the prime factors of 68522 and 68535.

Prime Factorization of 68522

Prime factors of 68522 are 2, 34261. Prime factorization of 68522 in exponential form is:

68522 = 21 × 342611

Prime Factorization of 68535

Prime factors of 68535 are 3, 5, 1523. Prime factorization of 68535 in exponential form is:

68535 = 32 × 51 × 15231

Now multiplying the highest exponent prime factors to calculate the LCM of 68522 and 68535.

LCM(68522,68535) = 21 × 342611 × 32 × 51 × 15231
LCM(68522,68535) = 4696155270