What is the Least Common Multiple of 63500 and 63506?

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 63500 and 63506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63500 and 63506, than apply into the LCM equation.

GCF(63500,63506) = 2
LCM(63500,63506) = ( 63500 × 63506) / 2
LCM(63500,63506) = 4032631000 / 2
LCM(63500,63506) = 2016315500

Least Common Multiple (LCM) of 63500 and 63506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63500 and 63506. First we will calculate the prime factors of 63500 and 63506.

Prime Factorization of 63500

Prime Factorization of 63506

Now multiplying the highest exponent prime factors to calculate the LCM of 63500 and 63506.

LCM(63500,63506) = 2² × 5³ × 127¹ × 113¹ × 281¹
LCM(63500,63506) = 2016315500