GCF and LCM Calculator Logo

What is the Least Common Multiple of 27529 and 27536?

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 27529 and 27536 is 758038544.

LCM(27529,27536) = 758038544

LCM Calculator and
and

Least Common Multiple of 27529 and 27536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27529 and 27536, than apply into the LCM equation.

GCF(27529,27536) = 1
LCM(27529,27536) = ( 27529 × 27536) / 1
LCM(27529,27536) = 758038544 / 1
LCM(27529,27536) = 758038544

Least Common Multiple (LCM) of 27529 and 27536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27529 and 27536. First we will calculate the prime factors of 27529 and 27536.

Prime Factorization of 27529

Prime factors of 27529 are 27529. Prime factorization of 27529 in exponential form is:

27529 = 275291

Prime Factorization of 27536

Prime factors of 27536 are 2, 1721. Prime factorization of 27536 in exponential form is:

27536 = 24 × 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 27529 and 27536.

LCM(27529,27536) = 275291 × 24 × 17211
LCM(27529,27536) = 758038544