What is the Least Common Multiple of 53008 and 53025?

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 53025 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 53025, than apply into the LCM equation.

GCF(53008,53025) = 1
LCM(53008,53025) = ( 53008 × 53025) / 1
LCM(53008,53025) = 2810749200 / 1
LCM(53008,53025) = 2810749200

Least Common Multiple (LCM) of 53008 and 53025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53008 and 53025. First we will calculate the prime factors of 53008 and 53025.

Prime Factorization of 53008

Prime Factorization of 53025

Now multiplying the highest exponent prime factors to calculate the LCM of 53008 and 53025.

LCM(53008,53025) = 2⁴ × 3313¹ × 3¹ × 5² × 7¹ × 101¹
LCM(53008,53025) = 2810749200