What is the Least Common Multiple of 63500 and 63505?

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 63505 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 63505, than apply into the LCM equation.

GCF(63500,63505) = 5
LCM(63500,63505) = ( 63500 × 63505) / 5
LCM(63500,63505) = 4032567500 / 5
LCM(63500,63505) = 806513500

Least Common Multiple (LCM) of 63500 and 63505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63500 and 63505. First we will calculate the prime factors of 63500 and 63505.

Prime Factorization of 63500

Prime Factorization of 63505

Now multiplying the highest exponent prime factors to calculate the LCM of 63500 and 63505.

LCM(63500,63505) = 2² × 5³ × 127¹ × 13¹ × 977¹
LCM(63500,63505) = 806513500