GCF and LCM Calculator Logo

What is the Least Common Multiple of 15976 and 15984?

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 (LCM) of 15976 and 15984 is 31920048.

LCM(15976,15984) = 31920048

LCM Calculator and
and

Least Common Multiple of 15976 and 15984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15976 and 15984, than apply into the LCM equation.

GCF(15976,15984) = 8
LCM(15976,15984) = ( 15976 × 15984) / 8
LCM(15976,15984) = 255360384 / 8
LCM(15976,15984) = 31920048

Least Common Multiple (LCM) of 15976 and 15984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15976 and 15984. First we will calculate the prime factors of 15976 and 15984.

Prime Factorization of 15976

Prime factors of 15976 are 2, 1997. Prime factorization of 15976 in exponential form is:

15976 = 23 × 19971

Prime Factorization of 15984

Prime factors of 15984 are 2, 3, 37. Prime factorization of 15984 in exponential form is:

15984 = 24 × 33 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 15976 and 15984.

LCM(15976,15984) = 24 × 19971 × 33 × 371
LCM(15976,15984) = 31920048