GCF and LCM Calculator Logo

What is the Least Common Multiple of 65679 and 65689?

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 65679 and 65689 is 4314387831.

LCM(65679,65689) = 4314387831

LCM Calculator and
and

Least Common Multiple of 65679 and 65689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65679 and 65689, than apply into the LCM equation.

GCF(65679,65689) = 1
LCM(65679,65689) = ( 65679 × 65689) / 1
LCM(65679,65689) = 4314387831 / 1
LCM(65679,65689) = 4314387831

Least Common Multiple (LCM) of 65679 and 65689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65679 and 65689. First we will calculate the prime factors of 65679 and 65689.

Prime Factorization of 65679

Prime factors of 65679 are 3, 21893. Prime factorization of 65679 in exponential form is:

65679 = 31 × 218931

Prime Factorization of 65689

Prime factors of 65689 are 13, 31, 163. Prime factorization of 65689 in exponential form is:

65689 = 131 × 311 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 65679 and 65689.

LCM(65679,65689) = 31 × 218931 × 131 × 311 × 1631
LCM(65679,65689) = 4314387831