GCF and LCM Calculator Logo

What is the Least Common Multiple of 15907 and 15921?

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 15907 and 15921 is 253255347.

LCM(15907,15921) = 253255347

LCM Calculator and
and

Least Common Multiple of 15907 and 15921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15907 and 15921, than apply into the LCM equation.

GCF(15907,15921) = 1
LCM(15907,15921) = ( 15907 × 15921) / 1
LCM(15907,15921) = 253255347 / 1
LCM(15907,15921) = 253255347

Least Common Multiple (LCM) of 15907 and 15921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15907 and 15921. First we will calculate the prime factors of 15907 and 15921.

Prime Factorization of 15907

Prime factors of 15907 are 15907. Prime factorization of 15907 in exponential form is:

15907 = 159071

Prime Factorization of 15921

Prime factors of 15921 are 3, 29, 61. Prime factorization of 15921 in exponential form is:

15921 = 32 × 291 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 15907 and 15921.

LCM(15907,15921) = 159071 × 32 × 291 × 611
LCM(15907,15921) = 253255347