GCF and LCM Calculator Logo

What is the Least Common Multiple of 69040 and 69060?

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 69040 and 69060 is 238395120.

LCM(69040,69060) = 238395120

LCM Calculator and
and

Least Common Multiple of 69040 and 69060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69040 and 69060, than apply into the LCM equation.

GCF(69040,69060) = 20
LCM(69040,69060) = ( 69040 × 69060) / 20
LCM(69040,69060) = 4767902400 / 20
LCM(69040,69060) = 238395120

Least Common Multiple (LCM) of 69040 and 69060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69040 and 69060. First we will calculate the prime factors of 69040 and 69060.

Prime Factorization of 69040

Prime factors of 69040 are 2, 5, 863. Prime factorization of 69040 in exponential form is:

69040 = 24 × 51 × 8631

Prime Factorization of 69060

Prime factors of 69060 are 2, 3, 5, 1151. Prime factorization of 69060 in exponential form is:

69060 = 22 × 31 × 51 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 69040 and 69060.

LCM(69040,69060) = 24 × 51 × 8631 × 31 × 11511
LCM(69040,69060) = 238395120