GCF and LCM Calculator Logo

What is the Least Common Multiple of 67989 and 68000?

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 67989 and 68000 is 4623252000.

LCM(67989,68000) = 4623252000

LCM Calculator and
and

Least Common Multiple of 67989 and 68000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67989 and 68000, than apply into the LCM equation.

GCF(67989,68000) = 1
LCM(67989,68000) = ( 67989 × 68000) / 1
LCM(67989,68000) = 4623252000 / 1
LCM(67989,68000) = 4623252000

Least Common Multiple (LCM) of 67989 and 68000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67989 and 68000. First we will calculate the prime factors of 67989 and 68000.

Prime Factorization of 67989

Prime factors of 67989 are 3, 131, 173. Prime factorization of 67989 in exponential form is:

67989 = 31 × 1311 × 1731

Prime Factorization of 68000

Prime factors of 68000 are 2, 5, 17. Prime factorization of 68000 in exponential form is:

68000 = 25 × 53 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 67989 and 68000.

LCM(67989,68000) = 31 × 1311 × 1731 × 25 × 53 × 171
LCM(67989,68000) = 4623252000