What is the Least Common Multiple of 59512 and 59530?

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 59512 and 59530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59512 and 59530, than apply into the LCM equation.

GCF(59512,59530) = 2
LCM(59512,59530) = ( 59512 × 59530) / 2
LCM(59512,59530) = 3542749360 / 2
LCM(59512,59530) = 1771374680

Least Common Multiple (LCM) of 59512 and 59530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59512 and 59530. First we will calculate the prime factors of 59512 and 59530.

Prime Factorization of 59512

Prime Factorization of 59530

Now multiplying the highest exponent prime factors to calculate the LCM of 59512 and 59530.

LCM(59512,59530) = 2³ × 43¹ × 173¹ × 5¹ × 5953¹
LCM(59512,59530) = 1771374680