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What is the Least Common Multiple of 27679 and 27693?

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 27679 and 27693 is 766514547.

LCM(27679,27693) = 766514547

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Least Common Multiple of 27679 and 27693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27679 and 27693, than apply into the LCM equation.

GCF(27679,27693) = 1
LCM(27679,27693) = ( 27679 × 27693) / 1
LCM(27679,27693) = 766514547 / 1
LCM(27679,27693) = 766514547

Least Common Multiple (LCM) of 27679 and 27693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27679 and 27693. First we will calculate the prime factors of 27679 and 27693.

Prime Factorization of 27679

Prime factors of 27679 are 89, 311. Prime factorization of 27679 in exponential form is:

27679 = 891 × 3111

Prime Factorization of 27693

Prime factors of 27693 are 3, 17, 181. Prime factorization of 27693 in exponential form is:

27693 = 32 × 171 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 27679 and 27693.

LCM(27679,27693) = 891 × 3111 × 32 × 171 × 1811
LCM(27679,27693) = 766514547