What is the Least Common Multiple of 63494 and 63500?

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 63494 and 63500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63494 and 63500, than apply into the LCM equation.

GCF(63494,63500) = 2
LCM(63494,63500) = ( 63494 × 63500) / 2
LCM(63494,63500) = 4031869000 / 2
LCM(63494,63500) = 2015934500

Least Common Multiple (LCM) of 63494 and 63500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63494 and 63500. First we will calculate the prime factors of 63494 and 63500.

Prime Factorization of 63494

Prime Factorization of 63500

Now multiplying the highest exponent prime factors to calculate the LCM of 63494 and 63500.

LCM(63494,63500) = 2² × 53¹ × 599¹ × 5³ × 127¹
LCM(63494,63500) = 2015934500