What is the Least Common Multiple of 53765 and 53785?

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 53765 and 53785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53765 and 53785, than apply into the LCM equation.

GCF(53765,53785) = 5
LCM(53765,53785) = ( 53765 × 53785) / 5
LCM(53765,53785) = 2891750525 / 5
LCM(53765,53785) = 578350105

Least Common Multiple (LCM) of 53765 and 53785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53765 and 53785. First we will calculate the prime factors of 53765 and 53785.

Prime Factorization of 53765

Prime Factorization of 53785

Now multiplying the highest exponent prime factors to calculate the LCM of 53765 and 53785.

LCM(53765,53785) = 5¹ × 10753¹ × 31¹ × 347¹
LCM(53765,53785) = 578350105