GCF and LCM Calculator Logo

What is the Least Common Multiple of 55451 and 55465?

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 55451 and 55465 is 3075589715.

LCM(55451,55465) = 3075589715

LCM Calculator and
and

Least Common Multiple of 55451 and 55465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55451 and 55465, than apply into the LCM equation.

GCF(55451,55465) = 1
LCM(55451,55465) = ( 55451 × 55465) / 1
LCM(55451,55465) = 3075589715 / 1
LCM(55451,55465) = 3075589715

Least Common Multiple (LCM) of 55451 and 55465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55451 and 55465. First we will calculate the prime factors of 55451 and 55465.

Prime Factorization of 55451

Prime factors of 55451 are 11, 71. Prime factorization of 55451 in exponential form is:

55451 = 111 × 712

Prime Factorization of 55465

Prime factors of 55465 are 5, 11093. Prime factorization of 55465 in exponential form is:

55465 = 51 × 110931

Now multiplying the highest exponent prime factors to calculate the LCM of 55451 and 55465.

LCM(55451,55465) = 111 × 712 × 51 × 110931
LCM(55451,55465) = 3075589715