What is the Least Common Multiple of 53800 and 53815?

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 53800 and 53815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53800 and 53815, than apply into the LCM equation.

GCF(53800,53815) = 5
LCM(53800,53815) = ( 53800 × 53815) / 5
LCM(53800,53815) = 2895247000 / 5
LCM(53800,53815) = 579049400

Least Common Multiple (LCM) of 53800 and 53815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53800 and 53815. First we will calculate the prime factors of 53800 and 53815.

Prime Factorization of 53800

Prime Factorization of 53815

Now multiplying the highest exponent prime factors to calculate the LCM of 53800 and 53815.

LCM(53800,53815) = 2³ × 5² × 269¹ × 47¹ × 229¹
LCM(53800,53815) = 579049400