What is the Least Common Multiple of 53279 and 53295?

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 53279 and 53295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53279 and 53295, than apply into the LCM equation.

GCF(53279,53295) = 1
LCM(53279,53295) = ( 53279 × 53295) / 1
LCM(53279,53295) = 2839504305 / 1
LCM(53279,53295) = 2839504305

Least Common Multiple (LCM) of 53279 and 53295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53279 and 53295. First we will calculate the prime factors of 53279 and 53295.

Prime Factorization of 53279

Prime Factorization of 53295

Now multiplying the highest exponent prime factors to calculate the LCM of 53279 and 53295.

LCM(53279,53295) = 53279¹ × 3¹ × 5¹ × 11¹ × 17¹ × 19¹
LCM(53279,53295) = 2839504305