GCF and LCM Calculator Logo

What is the Least Common Multiple of 15954 and 15969?

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 15954 and 15969 is 84923142.

LCM(15954,15969) = 84923142

LCM Calculator and
and

Least Common Multiple of 15954 and 15969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15954 and 15969, than apply into the LCM equation.

GCF(15954,15969) = 3
LCM(15954,15969) = ( 15954 × 15969) / 3
LCM(15954,15969) = 254769426 / 3
LCM(15954,15969) = 84923142

Least Common Multiple (LCM) of 15954 and 15969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15954 and 15969. First we will calculate the prime factors of 15954 and 15969.

Prime Factorization of 15954

Prime factors of 15954 are 2, 3, 2659. Prime factorization of 15954 in exponential form is:

15954 = 21 × 31 × 26591

Prime Factorization of 15969

Prime factors of 15969 are 3, 5323. Prime factorization of 15969 in exponential form is:

15969 = 31 × 53231

Now multiplying the highest exponent prime factors to calculate the LCM of 15954 and 15969.

LCM(15954,15969) = 21 × 31 × 26591 × 53231
LCM(15954,15969) = 84923142