What is the Least Common Multiple of 53008 and 53013?

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 of 53008 and 53013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53008 and 53013, than apply into the LCM equation.

GCF(53008,53013) = 1
LCM(53008,53013) = ( 53008 × 53013) / 1
LCM(53008,53013) = 2810113104 / 1
LCM(53008,53013) = 2810113104

Least Common Multiple (LCM) of 53008 and 53013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53008 and 53013. First we will calculate the prime factors of 53008 and 53013.

Prime Factorization of 53008

Prime Factorization of 53013

Now multiplying the highest exponent prime factors to calculate the LCM of 53008 and 53013.

LCM(53008,53013) = 2⁴ × 3313¹ × 3¹ × 41¹ × 431¹
LCM(53008,53013) = 2810113104