What is the Least Common Multiple of 53785 and 53800?

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 53785 and 53800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53785 and 53800, than apply into the LCM equation.

GCF(53785,53800) = 5
LCM(53785,53800) = ( 53785 × 53800) / 5
LCM(53785,53800) = 2893633000 / 5
LCM(53785,53800) = 578726600

Least Common Multiple (LCM) of 53785 and 53800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53785 and 53800. First we will calculate the prime factors of 53785 and 53800.

Prime Factorization of 53785

Prime Factorization of 53800

Now multiplying the highest exponent prime factors to calculate the LCM of 53785 and 53800.

LCM(53785,53800) = 5² × 31¹ × 347¹ × 2³ × 269¹
LCM(53785,53800) = 578726600