What is the Least Common Multiple of 15914 and 15928?

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 15914 and 15928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15914 and 15928, than apply into the LCM equation.

GCF(15914,15928) = 2
LCM(15914,15928) = ( 15914 × 15928) / 2
LCM(15914,15928) = 253478192 / 2
LCM(15914,15928) = 126739096

Least Common Multiple (LCM) of 15914 and 15928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15914 and 15928. First we will calculate the prime factors of 15914 and 15928.

Prime Factorization of 15914

Prime Factorization of 15928

Now multiplying the highest exponent prime factors to calculate the LCM of 15914 and 15928.

LCM(15914,15928) = 2³ × 73¹ × 109¹ × 11¹ × 181¹
LCM(15914,15928) = 126739096