What is the Least Common Multiple of 15902 and 15916?

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 15902 and 15916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15902 and 15916, than apply into the LCM equation.

GCF(15902,15916) = 2
LCM(15902,15916) = ( 15902 × 15916) / 2
LCM(15902,15916) = 253096232 / 2
LCM(15902,15916) = 126548116

Least Common Multiple (LCM) of 15902 and 15916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15902 and 15916. First we will calculate the prime factors of 15902 and 15916.

Prime Factorization of 15902

Prime Factorization of 15916

Now multiplying the highest exponent prime factors to calculate the LCM of 15902 and 15916.

LCM(15902,15916) = 2² × 7951¹ × 23¹ × 173¹
LCM(15902,15916) = 126548116