GCF and LCM Calculator Logo

What is the Least Common Multiple of 27596 and 27602?

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 27596 and 27602 is 380852396.

LCM(27596,27602) = 380852396

LCM Calculator and
and

Least Common Multiple of 27596 and 27602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27596 and 27602, than apply into the LCM equation.

GCF(27596,27602) = 2
LCM(27596,27602) = ( 27596 × 27602) / 2
LCM(27596,27602) = 761704792 / 2
LCM(27596,27602) = 380852396

Least Common Multiple (LCM) of 27596 and 27602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27596 and 27602. First we will calculate the prime factors of 27596 and 27602.

Prime Factorization of 27596

Prime factors of 27596 are 2, 6899. Prime factorization of 27596 in exponential form is:

27596 = 22 × 68991

Prime Factorization of 27602

Prime factors of 27602 are 2, 37, 373. Prime factorization of 27602 in exponential form is:

27602 = 21 × 371 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 27596 and 27602.

LCM(27596,27602) = 22 × 68991 × 371 × 3731
LCM(27596,27602) = 380852396