What is the Least Common Multiple of 38884 and 38893?

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 38884 and 38893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38884 and 38893, than apply into the LCM equation.

GCF(38884,38893) = 1
LCM(38884,38893) = ( 38884 × 38893) / 1
LCM(38884,38893) = 1512315412 / 1
LCM(38884,38893) = 1512315412

Least Common Multiple (LCM) of 38884 and 38893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38884 and 38893. First we will calculate the prime factors of 38884 and 38893.

Prime Factorization of 38884

Prime Factorization of 38893

Now multiplying the highest exponent prime factors to calculate the LCM of 38884 and 38893.

LCM(38884,38893) = 2² × 9721¹ × 19¹ × 23¹ × 89¹
LCM(38884,38893) = 1512315412