GCF and LCM Calculator Logo

What is the Least Common Multiple of 71190 and 71204?

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 71190 and 71204 is 362072340.

LCM(71190,71204) = 362072340

LCM Calculator and
and

Least Common Multiple of 71190 and 71204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71190 and 71204, than apply into the LCM equation.

GCF(71190,71204) = 14
LCM(71190,71204) = ( 71190 × 71204) / 14
LCM(71190,71204) = 5069012760 / 14
LCM(71190,71204) = 362072340

Least Common Multiple (LCM) of 71190 and 71204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71190 and 71204. First we will calculate the prime factors of 71190 and 71204.

Prime Factorization of 71190

Prime factors of 71190 are 2, 3, 5, 7, 113. Prime factorization of 71190 in exponential form is:

71190 = 21 × 32 × 51 × 71 × 1131

Prime Factorization of 71204

Prime factors of 71204 are 2, 7, 2543. Prime factorization of 71204 in exponential form is:

71204 = 22 × 71 × 25431

Now multiplying the highest exponent prime factors to calculate the LCM of 71190 and 71204.

LCM(71190,71204) = 22 × 32 × 51 × 71 × 1131 × 25431
LCM(71190,71204) = 362072340