What is the Least Common Multiple of 19488 and 19507?

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 19488 and 19507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19488 and 19507, than apply into the LCM equation.

GCF(19488,19507) = 1
LCM(19488,19507) = ( 19488 × 19507) / 1
LCM(19488,19507) = 380152416 / 1
LCM(19488,19507) = 380152416

Least Common Multiple (LCM) of 19488 and 19507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19488 and 19507. First we will calculate the prime factors of 19488 and 19507.

Prime Factorization of 19488

Prime Factorization of 19507

Now multiplying the highest exponent prime factors to calculate the LCM of 19488 and 19507.

LCM(19488,19507) = 2⁵ × 3¹ × 7¹ × 29¹ × 19507¹
LCM(19488,19507) = 380152416