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What is the Least Common Multiple of 77389 and 77394?

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 77389 and 77394 is 5989444266.

LCM(77389,77394) = 5989444266

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Least Common Multiple of 77389 and 77394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77389 and 77394, than apply into the LCM equation.

GCF(77389,77394) = 1
LCM(77389,77394) = ( 77389 × 77394) / 1
LCM(77389,77394) = 5989444266 / 1
LCM(77389,77394) = 5989444266

Least Common Multiple (LCM) of 77389 and 77394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77389 and 77394. First we will calculate the prime factors of 77389 and 77394.

Prime Factorization of 77389

Prime factors of 77389 are 13, 5953. Prime factorization of 77389 in exponential form is:

77389 = 131 × 59531

Prime Factorization of 77394

Prime factors of 77394 are 2, 3, 12899. Prime factorization of 77394 in exponential form is:

77394 = 21 × 31 × 128991

Now multiplying the highest exponent prime factors to calculate the LCM of 77389 and 77394.

LCM(77389,77394) = 131 × 59531 × 21 × 31 × 128991
LCM(77389,77394) = 5989444266