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What is the Least Common Multiple of 27419 and 27436?

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 27419 and 27436 is 752267684.

LCM(27419,27436) = 752267684

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Least Common Multiple of 27419 and 27436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27419 and 27436, than apply into the LCM equation.

GCF(27419,27436) = 1
LCM(27419,27436) = ( 27419 × 27436) / 1
LCM(27419,27436) = 752267684 / 1
LCM(27419,27436) = 752267684

Least Common Multiple (LCM) of 27419 and 27436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27419 and 27436. First we will calculate the prime factors of 27419 and 27436.

Prime Factorization of 27419

Prime factors of 27419 are 7, 3917. Prime factorization of 27419 in exponential form is:

27419 = 71 × 39171

Prime Factorization of 27436

Prime factors of 27436 are 2, 19. Prime factorization of 27436 in exponential form is:

27436 = 22 × 193

Now multiplying the highest exponent prime factors to calculate the LCM of 27419 and 27436.

LCM(27419,27436) = 71 × 39171 × 22 × 193
LCM(27419,27436) = 752267684