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What is the Least Common Multiple of 27196 and 27210?

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 27210 is 370001580.

LCM(27196,27210) = 370001580

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Least Common Multiple of 27196 and 27210 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 27210, than apply into the LCM equation.

GCF(27196,27210) = 2
LCM(27196,27210) = ( 27196 × 27210) / 2
LCM(27196,27210) = 740003160 / 2
LCM(27196,27210) = 370001580

Least Common Multiple (LCM) of 27196 and 27210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27196 and 27210. First we will calculate the prime factors of 27196 and 27210.

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 27210

Prime factors of 27210 are 2, 3, 5, 907. Prime factorization of 27210 in exponential form is:

27210 = 21 × 31 × 51 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 27196 and 27210.

LCM(27196,27210) = 22 × 131 × 5231 × 31 × 51 × 9071
LCM(27196,27210) = 370001580