What is the Least Common Multiple of 53792 and 53801?

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 53792 and 53801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53792 and 53801, than apply into the LCM equation.

GCF(53792,53801) = 1
LCM(53792,53801) = ( 53792 × 53801) / 1
LCM(53792,53801) = 2894063392 / 1
LCM(53792,53801) = 2894063392

Least Common Multiple (LCM) of 53792 and 53801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53792 and 53801. First we will calculate the prime factors of 53792 and 53801.

Prime Factorization of 53792

Prime Factorization of 53801

Now multiplying the highest exponent prime factors to calculate the LCM of 53792 and 53801.

LCM(53792,53801) = 2⁵ × 41² × 11¹ × 67¹ × 73¹
LCM(53792,53801) = 2894063392