What is the Least Common Multiple of 59279 and 59296?

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 59279 and 59296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59279 and 59296, than apply into the LCM equation.

GCF(59279,59296) = 17
LCM(59279,59296) = ( 59279 × 59296) / 17
LCM(59279,59296) = 3515007584 / 17
LCM(59279,59296) = 206765152

Least Common Multiple (LCM) of 59279 and 59296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59279 and 59296. First we will calculate the prime factors of 59279 and 59296.

Prime Factorization of 59279

Prime Factorization of 59296

Now multiplying the highest exponent prime factors to calculate the LCM of 59279 and 59296.

LCM(59279,59296) = 11¹ × 17¹ × 317¹ × 2⁵ × 109¹
LCM(59279,59296) = 206765152