What is the Least Common Multiple of 27498 and 27503?

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 27498 and 27503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27498 and 27503, than apply into the LCM equation.

GCF(27498,27503) = 1
LCM(27498,27503) = ( 27498 × 27503) / 1
LCM(27498,27503) = 756277494 / 1
LCM(27498,27503) = 756277494

Least Common Multiple (LCM) of 27498 and 27503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27498 and 27503. First we will calculate the prime factors of 27498 and 27503.

Prime Factorization of 27498

Prime Factorization of 27503

Now multiplying the highest exponent prime factors to calculate the LCM of 27498 and 27503.

LCM(27498,27503) = 2¹ × 3¹ × 4583¹ × 7¹ × 3929¹
LCM(27498,27503) = 756277494