What is the Least Common Multiple of 11498 and 11507?

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 11498 and 11507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11498 and 11507, than apply into the LCM equation.

GCF(11498,11507) = 1
LCM(11498,11507) = ( 11498 × 11507) / 1
LCM(11498,11507) = 132307486 / 1
LCM(11498,11507) = 132307486

Least Common Multiple (LCM) of 11498 and 11507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11498 and 11507. First we will calculate the prime factors of 11498 and 11507.

Prime Factorization of 11498

Prime Factorization of 11507

Now multiplying the highest exponent prime factors to calculate the LCM of 11498 and 11507.

LCM(11498,11507) = 2¹ × 5749¹ × 37¹ × 311¹
LCM(11498,11507) = 132307486