What is the Least Common Multiple of 53000 and 53008?

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 53000 and 53008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53000 and 53008, than apply into the LCM equation.

GCF(53000,53008) = 8
LCM(53000,53008) = ( 53000 × 53008) / 8
LCM(53000,53008) = 2809424000 / 8
LCM(53000,53008) = 351178000

Least Common Multiple (LCM) of 53000 and 53008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53000 and 53008. First we will calculate the prime factors of 53000 and 53008.

Prime Factorization of 53000

Prime Factorization of 53008

Now multiplying the highest exponent prime factors to calculate the LCM of 53000 and 53008.

LCM(53000,53008) = 2⁴ × 5³ × 53¹ × 3313¹
LCM(53000,53008) = 351178000