GCF and LCM Calculator Logo

What is the Least Common Multiple of 66989 and 67004?

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 66989 and 67004 is 4488530956.

LCM(66989,67004) = 4488530956

LCM Calculator and
and

Least Common Multiple of 66989 and 67004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66989 and 67004, than apply into the LCM equation.

GCF(66989,67004) = 1
LCM(66989,67004) = ( 66989 × 67004) / 1
LCM(66989,67004) = 4488530956 / 1
LCM(66989,67004) = 4488530956

Least Common Multiple (LCM) of 66989 and 67004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66989 and 67004. First we will calculate the prime factors of 66989 and 67004.

Prime Factorization of 66989

Prime factors of 66989 are 13, 5153. Prime factorization of 66989 in exponential form is:

66989 = 131 × 51531

Prime Factorization of 67004

Prime factors of 67004 are 2, 7, 2393. Prime factorization of 67004 in exponential form is:

67004 = 22 × 71 × 23931

Now multiplying the highest exponent prime factors to calculate the LCM of 66989 and 67004.

LCM(66989,67004) = 131 × 51531 × 22 × 71 × 23931
LCM(66989,67004) = 4488530956