GCF and LCM Calculator Logo

What is the Least Common Multiple of 3455 and 3471?

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 3455 and 3471 is 11992305.

LCM(3455,3471) = 11992305

LCM Calculator and
and

Least Common Multiple of 3455 and 3471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3455 and 3471, than apply into the LCM equation.

GCF(3455,3471) = 1
LCM(3455,3471) = ( 3455 × 3471) / 1
LCM(3455,3471) = 11992305 / 1
LCM(3455,3471) = 11992305

Least Common Multiple (LCM) of 3455 and 3471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3455 and 3471. First we will calculate the prime factors of 3455 and 3471.

Prime Factorization of 3455

Prime factors of 3455 are 5, 691. Prime factorization of 3455 in exponential form is:

3455 = 51 × 6911

Prime Factorization of 3471

Prime factors of 3471 are 3, 13, 89. Prime factorization of 3471 in exponential form is:

3471 = 31 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 3455 and 3471.

LCM(3455,3471) = 51 × 6911 × 31 × 131 × 891
LCM(3455,3471) = 11992305