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What is the Least Common Multiple of 27014 and 27028?

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 27014 and 27028 is 365067196.

LCM(27014,27028) = 365067196

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Least Common Multiple of 27014 and 27028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27014 and 27028, than apply into the LCM equation.

GCF(27014,27028) = 2
LCM(27014,27028) = ( 27014 × 27028) / 2
LCM(27014,27028) = 730134392 / 2
LCM(27014,27028) = 365067196

Least Common Multiple (LCM) of 27014 and 27028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27014 and 27028. First we will calculate the prime factors of 27014 and 27028.

Prime Factorization of 27014

Prime factors of 27014 are 2, 13, 1039. Prime factorization of 27014 in exponential form is:

27014 = 21 × 131 × 10391

Prime Factorization of 27028

Prime factors of 27028 are 2, 29, 233. Prime factorization of 27028 in exponential form is:

27028 = 22 × 291 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 27014 and 27028.

LCM(27014,27028) = 22 × 131 × 10391 × 291 × 2331
LCM(27014,27028) = 365067196