GCF and LCM Calculator Logo

What is the Least Common Multiple of 15447 and 15463?

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 15447 and 15463 is 238856961.

LCM(15447,15463) = 238856961

LCM Calculator and
and

Least Common Multiple of 15447 and 15463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15447 and 15463, than apply into the LCM equation.

GCF(15447,15463) = 1
LCM(15447,15463) = ( 15447 × 15463) / 1
LCM(15447,15463) = 238856961 / 1
LCM(15447,15463) = 238856961

Least Common Multiple (LCM) of 15447 and 15463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15447 and 15463. First we will calculate the prime factors of 15447 and 15463.

Prime Factorization of 15447

Prime factors of 15447 are 3, 19, 271. Prime factorization of 15447 in exponential form is:

15447 = 31 × 191 × 2711

Prime Factorization of 15463

Prime factors of 15463 are 7, 47. Prime factorization of 15463 in exponential form is:

15463 = 71 × 472

Now multiplying the highest exponent prime factors to calculate the LCM of 15447 and 15463.

LCM(15447,15463) = 31 × 191 × 2711 × 71 × 472
LCM(15447,15463) = 238856961