GCF and LCM Calculator Logo

What is the Least Common Multiple of 27196 and 27209?

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 27196 and 27209 is 56921228.

LCM(27196,27209) = 56921228

LCM Calculator and
and

Least Common Multiple of 27196 and 27209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27196 and 27209, than apply into the LCM equation.

GCF(27196,27209) = 13
LCM(27196,27209) = ( 27196 × 27209) / 13
LCM(27196,27209) = 739975964 / 13
LCM(27196,27209) = 56921228

Least Common Multiple (LCM) of 27196 and 27209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27196 and 27209. First we will calculate the prime factors of 27196 and 27209.

Prime Factorization of 27196

Prime factors of 27196 are 2, 13, 523. Prime factorization of 27196 in exponential form is:

27196 = 22 × 131 × 5231

Prime Factorization of 27209

Prime factors of 27209 are 7, 13, 23. Prime factorization of 27209 in exponential form is:

27209 = 71 × 132 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 27196 and 27209.

LCM(27196,27209) = 22 × 132 × 5231 × 71 × 231
LCM(27196,27209) = 56921228