GCF and LCM Calculator Logo

What is the Least Common Multiple of 35127 and 35139?

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 35127 and 35139 is 411442551.

LCM(35127,35139) = 411442551

LCM Calculator and
and

Least Common Multiple of 35127 and 35139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35127 and 35139, than apply into the LCM equation.

GCF(35127,35139) = 3
LCM(35127,35139) = ( 35127 × 35139) / 3
LCM(35127,35139) = 1234327653 / 3
LCM(35127,35139) = 411442551

Least Common Multiple (LCM) of 35127 and 35139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35127 and 35139. First we will calculate the prime factors of 35127 and 35139.

Prime Factorization of 35127

Prime factors of 35127 are 3, 1301. Prime factorization of 35127 in exponential form is:

35127 = 33 × 13011

Prime Factorization of 35139

Prime factors of 35139 are 3, 13, 17, 53. Prime factorization of 35139 in exponential form is:

35139 = 31 × 131 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 35127 and 35139.

LCM(35127,35139) = 33 × 13011 × 131 × 171 × 531
LCM(35127,35139) = 411442551