GCF and LCM Calculator Logo

What is the Least Common Multiple of 527 and 539?

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 527 and 539 is 284053.

LCM(527,539) = 284053

LCM Calculator and
and

Least Common Multiple of 527 and 539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 527 and 539, than apply into the LCM equation.

GCF(527,539) = 1
LCM(527,539) = ( 527 × 539) / 1
LCM(527,539) = 284053 / 1
LCM(527,539) = 284053

Least Common Multiple (LCM) of 527 and 539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 527 and 539. First we will calculate the prime factors of 527 and 539.

Prime Factorization of 527

Prime factors of 527 are 17, 31. Prime factorization of 527 in exponential form is:

527 = 171 × 311

Prime Factorization of 539

Prime factors of 539 are 7, 11. Prime factorization of 539 in exponential form is:

539 = 72 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 527 and 539.

LCM(527,539) = 171 × 311 × 72 × 111
LCM(527,539) = 284053