What is the Least Common Multiple of 59283 and 59297?

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 59283 and 59297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59283 and 59297, than apply into the LCM equation.

GCF(59283,59297) = 7
LCM(59283,59297) = ( 59283 × 59297) / 7
LCM(59283,59297) = 3515304051 / 7
LCM(59283,59297) = 502186293

Least Common Multiple (LCM) of 59283 and 59297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59283 and 59297. First we will calculate the prime factors of 59283 and 59297.

Prime Factorization of 59283

Prime Factorization of 59297

Now multiplying the highest exponent prime factors to calculate the LCM of 59283 and 59297.

LCM(59283,59297) = 3² × 7¹ × 941¹ × 43¹ × 197¹
LCM(59283,59297) = 502186293