What is the Least Common Multiple of 6499 and 6503?

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 6499 and 6503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6499 and 6503, than apply into the LCM equation.

GCF(6499,6503) = 1
LCM(6499,6503) = ( 6499 × 6503) / 1
LCM(6499,6503) = 42262997 / 1
LCM(6499,6503) = 42262997

Least Common Multiple (LCM) of 6499 and 6503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6499 and 6503. First we will calculate the prime factors of 6499 and 6503.

Prime Factorization of 6499

Prime Factorization of 6503

Now multiplying the highest exponent prime factors to calculate the LCM of 6499 and 6503.

LCM(6499,6503) = 67¹ × 97¹ × 7¹ × 929¹
LCM(6499,6503) = 42262997