What is the Least Common Multiple of 15940 and 15952?

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 15940 and 15952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15940 and 15952, than apply into the LCM equation.

GCF(15940,15952) = 4
LCM(15940,15952) = ( 15940 × 15952) / 4
LCM(15940,15952) = 254274880 / 4
LCM(15940,15952) = 63568720

Least Common Multiple (LCM) of 15940 and 15952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15940 and 15952. First we will calculate the prime factors of 15940 and 15952.

Prime Factorization of 15940

Prime Factorization of 15952

Now multiplying the highest exponent prime factors to calculate the LCM of 15940 and 15952.

LCM(15940,15952) = 2⁴ × 5¹ × 797¹ × 997¹
LCM(15940,15952) = 63568720