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What is the Least Common Multiple of 27396 and 27406?

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 27396 and 27406 is 375407388.

LCM(27396,27406) = 375407388

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Least Common Multiple of 27396 and 27406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27396 and 27406, than apply into the LCM equation.

GCF(27396,27406) = 2
LCM(27396,27406) = ( 27396 × 27406) / 2
LCM(27396,27406) = 750814776 / 2
LCM(27396,27406) = 375407388

Least Common Multiple (LCM) of 27396 and 27406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27396 and 27406. First we will calculate the prime factors of 27396 and 27406.

Prime Factorization of 27396

Prime factors of 27396 are 2, 3, 761. Prime factorization of 27396 in exponential form is:

27396 = 22 × 32 × 7611

Prime Factorization of 27406

Prime factors of 27406 are 2, 71, 193. Prime factorization of 27406 in exponential form is:

27406 = 21 × 711 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 27396 and 27406.

LCM(27396,27406) = 22 × 32 × 7611 × 711 × 1931
LCM(27396,27406) = 375407388