What is the Least Common Multiple of 53284 and 53296?

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 53284 and 53296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53284 and 53296, than apply into the LCM equation.

GCF(53284,53296) = 4
LCM(53284,53296) = ( 53284 × 53296) / 4
LCM(53284,53296) = 2839824064 / 4
LCM(53284,53296) = 709956016

Least Common Multiple (LCM) of 53284 and 53296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53284 and 53296. First we will calculate the prime factors of 53284 and 53296.

Prime Factorization of 53284

Prime Factorization of 53296

Now multiplying the highest exponent prime factors to calculate the LCM of 53284 and 53296.

LCM(53284,53296) = 2⁴ × 7¹ × 11¹ × 173¹ × 3331¹
LCM(53284,53296) = 709956016