GCF and LCM Calculator Logo

What is the Least Common Multiple of 5972 and 5984?

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 5972 and 5984 is 8934112.

LCM(5972,5984) = 8934112

LCM Calculator and
and

Least Common Multiple of 5972 and 5984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5972 and 5984, than apply into the LCM equation.

GCF(5972,5984) = 4
LCM(5972,5984) = ( 5972 × 5984) / 4
LCM(5972,5984) = 35736448 / 4
LCM(5972,5984) = 8934112

Least Common Multiple (LCM) of 5972 and 5984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5972 and 5984. First we will calculate the prime factors of 5972 and 5984.

Prime Factorization of 5972

Prime factors of 5972 are 2, 1493. Prime factorization of 5972 in exponential form is:

5972 = 22 × 14931

Prime Factorization of 5984

Prime factors of 5984 are 2, 11, 17. Prime factorization of 5984 in exponential form is:

5984 = 25 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 5972 and 5984.

LCM(5972,5984) = 25 × 14931 × 111 × 171
LCM(5972,5984) = 8934112