GCF and LCM Calculator Logo

What is the Least Common Multiple of 4522 and 4537?

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 4522 and 4537 is 20516314.

LCM(4522,4537) = 20516314

LCM Calculator and
and

Least Common Multiple of 4522 and 4537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4522 and 4537, than apply into the LCM equation.

GCF(4522,4537) = 1
LCM(4522,4537) = ( 4522 × 4537) / 1
LCM(4522,4537) = 20516314 / 1
LCM(4522,4537) = 20516314

Least Common Multiple (LCM) of 4522 and 4537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4522 and 4537. First we will calculate the prime factors of 4522 and 4537.

Prime Factorization of 4522

Prime factors of 4522 are 2, 7, 17, 19. Prime factorization of 4522 in exponential form is:

4522 = 21 × 71 × 171 × 191

Prime Factorization of 4537

Prime factors of 4537 are 13, 349. Prime factorization of 4537 in exponential form is:

4537 = 131 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 4522 and 4537.

LCM(4522,4537) = 21 × 71 × 171 × 191 × 131 × 3491
LCM(4522,4537) = 20516314