GCF and LCM Calculator Logo

What is the Least Common Multiple of 55265 and 55270?

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 55265 and 55270 is 610899310.

LCM(55265,55270) = 610899310

LCM Calculator and
and

Least Common Multiple of 55265 and 55270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55265 and 55270, than apply into the LCM equation.

GCF(55265,55270) = 5
LCM(55265,55270) = ( 55265 × 55270) / 5
LCM(55265,55270) = 3054496550 / 5
LCM(55265,55270) = 610899310

Least Common Multiple (LCM) of 55265 and 55270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55265 and 55270. First we will calculate the prime factors of 55265 and 55270.

Prime Factorization of 55265

Prime factors of 55265 are 5, 7, 1579. Prime factorization of 55265 in exponential form is:

55265 = 51 × 71 × 15791

Prime Factorization of 55270

Prime factors of 55270 are 2, 5, 5527. Prime factorization of 55270 in exponential form is:

55270 = 21 × 51 × 55271

Now multiplying the highest exponent prime factors to calculate the LCM of 55265 and 55270.

LCM(55265,55270) = 51 × 71 × 15791 × 21 × 55271
LCM(55265,55270) = 610899310