GCF and LCM Calculator Logo

What is the Least Common Multiple of 71549 and 71555?

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 71549 and 71555 is 5119688695.

LCM(71549,71555) = 5119688695

LCM Calculator and
and

Least Common Multiple of 71549 and 71555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71549 and 71555, than apply into the LCM equation.

GCF(71549,71555) = 1
LCM(71549,71555) = ( 71549 × 71555) / 1
LCM(71549,71555) = 5119688695 / 1
LCM(71549,71555) = 5119688695

Least Common Multiple (LCM) of 71549 and 71555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71549 and 71555. First we will calculate the prime factors of 71549 and 71555.

Prime Factorization of 71549

Prime factors of 71549 are 71549. Prime factorization of 71549 in exponential form is:

71549 = 715491

Prime Factorization of 71555

Prime factors of 71555 are 5, 11, 1301. Prime factorization of 71555 in exponential form is:

71555 = 51 × 111 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 71549 and 71555.

LCM(71549,71555) = 715491 × 51 × 111 × 13011
LCM(71549,71555) = 5119688695