GCF and LCM Calculator Logo

What is the Least Common Multiple of 27532 and 27542?

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 27532 and 27542 is 379143172.

LCM(27532,27542) = 379143172

LCM Calculator and
and

Least Common Multiple of 27532 and 27542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27532 and 27542, than apply into the LCM equation.

GCF(27532,27542) = 2
LCM(27532,27542) = ( 27532 × 27542) / 2
LCM(27532,27542) = 758286344 / 2
LCM(27532,27542) = 379143172

Least Common Multiple (LCM) of 27532 and 27542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27532 and 27542. First we will calculate the prime factors of 27532 and 27542.

Prime Factorization of 27532

Prime factors of 27532 are 2, 6883. Prime factorization of 27532 in exponential form is:

27532 = 22 × 68831

Prime Factorization of 27542

Prime factors of 27542 are 2, 47, 293. Prime factorization of 27542 in exponential form is:

27542 = 21 × 471 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 27532 and 27542.

LCM(27532,27542) = 22 × 68831 × 471 × 2931
LCM(27532,27542) = 379143172