What is the Least Common Multiple of 53296 and 53303?

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 53296 and 53303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53296 and 53303, than apply into the LCM equation.

GCF(53296,53303) = 1
LCM(53296,53303) = ( 53296 × 53303) / 1
LCM(53296,53303) = 2840836688 / 1
LCM(53296,53303) = 2840836688

Least Common Multiple (LCM) of 53296 and 53303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53296 and 53303. First we will calculate the prime factors of 53296 and 53303.

Prime Factorization of 53296

Prime Factorization of 53303

Now multiplying the highest exponent prime factors to calculate the LCM of 53296 and 53303.

LCM(53296,53303) = 2⁴ × 3331¹ × 151¹ × 353¹
LCM(53296,53303) = 2840836688