GCF and LCM Calculator Logo

What is the Least Common Multiple of 17720 and 17739?

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 17720 and 17739 is 314335080.

LCM(17720,17739) = 314335080

LCM Calculator and
and

Least Common Multiple of 17720 and 17739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17720 and 17739, than apply into the LCM equation.

GCF(17720,17739) = 1
LCM(17720,17739) = ( 17720 × 17739) / 1
LCM(17720,17739) = 314335080 / 1
LCM(17720,17739) = 314335080

Least Common Multiple (LCM) of 17720 and 17739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17720 and 17739. First we will calculate the prime factors of 17720 and 17739.

Prime Factorization of 17720

Prime factors of 17720 are 2, 5, 443. Prime factorization of 17720 in exponential form is:

17720 = 23 × 51 × 4431

Prime Factorization of 17739

Prime factors of 17739 are 3, 73. Prime factorization of 17739 in exponential form is:

17739 = 35 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 17720 and 17739.

LCM(17720,17739) = 23 × 51 × 4431 × 35 × 731
LCM(17720,17739) = 314335080