GCF and LCM Calculator Logo

What is the Least Common Multiple of 27514 and 27520?

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 27514 and 27520 is 378592640.

LCM(27514,27520) = 378592640

LCM Calculator and
and

Least Common Multiple of 27514 and 27520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27514 and 27520, than apply into the LCM equation.

GCF(27514,27520) = 2
LCM(27514,27520) = ( 27514 × 27520) / 2
LCM(27514,27520) = 757185280 / 2
LCM(27514,27520) = 378592640

Least Common Multiple (LCM) of 27514 and 27520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27514 and 27520. First we will calculate the prime factors of 27514 and 27520.

Prime Factorization of 27514

Prime factors of 27514 are 2, 13757. Prime factorization of 27514 in exponential form is:

27514 = 21 × 137571

Prime Factorization of 27520

Prime factors of 27520 are 2, 5, 43. Prime factorization of 27520 in exponential form is:

27520 = 27 × 51 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 27514 and 27520.

LCM(27514,27520) = 27 × 137571 × 51 × 431
LCM(27514,27520) = 378592640