GCF and LCM Calculator Logo

What is the Least Common Multiple of 15950 and 15968?

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 15950 and 15968 is 127344800.

LCM(15950,15968) = 127344800

LCM Calculator and
and

Least Common Multiple of 15950 and 15968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15950 and 15968, than apply into the LCM equation.

GCF(15950,15968) = 2
LCM(15950,15968) = ( 15950 × 15968) / 2
LCM(15950,15968) = 254689600 / 2
LCM(15950,15968) = 127344800

Least Common Multiple (LCM) of 15950 and 15968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15950 and 15968. First we will calculate the prime factors of 15950 and 15968.

Prime Factorization of 15950

Prime factors of 15950 are 2, 5, 11, 29. Prime factorization of 15950 in exponential form is:

15950 = 21 × 52 × 111 × 291

Prime Factorization of 15968

Prime factors of 15968 are 2, 499. Prime factorization of 15968 in exponential form is:

15968 = 25 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 15950 and 15968.

LCM(15950,15968) = 25 × 52 × 111 × 291 × 4991
LCM(15950,15968) = 127344800