What is the Least Common Multiple of 67499 and 67505?

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 67499 and 67505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67499 and 67505, than apply into the LCM equation.

GCF(67499,67505) = 1
LCM(67499,67505) = ( 67499 × 67505) / 1
LCM(67499,67505) = 4556519995 / 1
LCM(67499,67505) = 4556519995

Least Common Multiple (LCM) of 67499 and 67505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67499 and 67505. First we will calculate the prime factors of 67499 and 67505.

Prime Factorization of 67499

Prime Factorization of 67505

Now multiplying the highest exponent prime factors to calculate the LCM of 67499 and 67505.

LCM(67499,67505) = 67499¹ × 5¹ × 23¹ × 587¹
LCM(67499,67505) = 4556519995