GCF and LCM Calculator Logo

What is the Least Common Multiple of 67497 and 67503?

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 (LCM) of 67497 and 67503 is 1518749997.

LCM(67497,67503) = 1518749997

LCM Calculator and
and

Least Common Multiple of 67497 and 67503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67497 and 67503, than apply into the LCM equation.

GCF(67497,67503) = 3
LCM(67497,67503) = ( 67497 × 67503) / 3
LCM(67497,67503) = 4556249991 / 3
LCM(67497,67503) = 1518749997

Least Common Multiple (LCM) of 67497 and 67503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67497 and 67503. First we will calculate the prime factors of 67497 and 67503.

Prime Factorization of 67497

Prime factors of 67497 are 3, 149, 151. Prime factorization of 67497 in exponential form is:

67497 = 31 × 1491 × 1511

Prime Factorization of 67503

Prime factors of 67503 are 3, 22501. Prime factorization of 67503 in exponential form is:

67503 = 31 × 225011

Now multiplying the highest exponent prime factors to calculate the LCM of 67497 and 67503.

LCM(67497,67503) = 31 × 1491 × 1511 × 225011
LCM(67497,67503) = 1518749997