What is the Least Common Multiple of 59500 and 59517?

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 59500 and 59517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59500 and 59517, than apply into the LCM equation.

GCF(59500,59517) = 17
LCM(59500,59517) = ( 59500 × 59517) / 17
LCM(59500,59517) = 3541261500 / 17
LCM(59500,59517) = 208309500

Least Common Multiple (LCM) of 59500 and 59517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59500 and 59517. First we will calculate the prime factors of 59500 and 59517.

Prime Factorization of 59500

Prime Factorization of 59517

Now multiplying the highest exponent prime factors to calculate the LCM of 59500 and 59517.

LCM(59500,59517) = 2² × 5³ × 7¹ × 17¹ × 3² × 389¹
LCM(59500,59517) = 208309500