GCF and LCM Calculator Logo

What is the Least Common Multiple of 5047 and 5060?

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 5047 and 5060 is 25537820.

LCM(5047,5060) = 25537820

LCM Calculator and
and

Least Common Multiple of 5047 and 5060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5047 and 5060, than apply into the LCM equation.

GCF(5047,5060) = 1
LCM(5047,5060) = ( 5047 × 5060) / 1
LCM(5047,5060) = 25537820 / 1
LCM(5047,5060) = 25537820

Least Common Multiple (LCM) of 5047 and 5060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5047 and 5060. First we will calculate the prime factors of 5047 and 5060.

Prime Factorization of 5047

Prime factors of 5047 are 7, 103. Prime factorization of 5047 in exponential form is:

5047 = 72 × 1031

Prime Factorization of 5060

Prime factors of 5060 are 2, 5, 11, 23. Prime factorization of 5060 in exponential form is:

5060 = 22 × 51 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 5047 and 5060.

LCM(5047,5060) = 72 × 1031 × 22 × 51 × 111 × 231
LCM(5047,5060) = 25537820