What is the Least Common Multiple of 48489 and 48507?

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 48489 and 48507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48489 and 48507, than apply into the LCM equation.

GCF(48489,48507) = 3
LCM(48489,48507) = ( 48489 × 48507) / 3
LCM(48489,48507) = 2352055923 / 3
LCM(48489,48507) = 784018641

Least Common Multiple (LCM) of 48489 and 48507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48489 and 48507. First we will calculate the prime factors of 48489 and 48507.

Prime Factorization of 48489

Prime Factorization of 48507

Now multiplying the highest exponent prime factors to calculate the LCM of 48489 and 48507.

LCM(48489,48507) = 3¹ × 7¹ × 2309¹ × 19¹ × 23¹ × 37¹
LCM(48489,48507) = 784018641