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What is the Least Common Multiple of 27196 and 27201?

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 27201 is 739758396.

LCM(27196,27201) = 739758396

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Least Common Multiple of 27196 and 27201 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 27201, than apply into the LCM equation.

GCF(27196,27201) = 1
LCM(27196,27201) = ( 27196 × 27201) / 1
LCM(27196,27201) = 739758396 / 1
LCM(27196,27201) = 739758396

Least Common Multiple (LCM) of 27196 and 27201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27196 and 27201. First we will calculate the prime factors of 27196 and 27201.

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 27201

Prime factors of 27201 are 3, 9067. Prime factorization of 27201 in exponential form is:

27201 = 31 × 90671

Now multiplying the highest exponent prime factors to calculate the LCM of 27196 and 27201.

LCM(27196,27201) = 22 × 131 × 5231 × 31 × 90671
LCM(27196,27201) = 739758396