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What is the Least Common Multiple of 77369 and 77381?

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 77369 and 77381 is 5986890589.

LCM(77369,77381) = 5986890589

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Least Common Multiple of 77369 and 77381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77369 and 77381, than apply into the LCM equation.

GCF(77369,77381) = 1
LCM(77369,77381) = ( 77369 × 77381) / 1
LCM(77369,77381) = 5986890589 / 1
LCM(77369,77381) = 5986890589

Least Common Multiple (LCM) of 77369 and 77381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77369 and 77381. First we will calculate the prime factors of 77369 and 77381.

Prime Factorization of 77369

Prime factors of 77369 are 77369. Prime factorization of 77369 in exponential form is:

77369 = 773691

Prime Factorization of 77381

Prime factors of 77381 are 223, 347. Prime factorization of 77381 in exponential form is:

77381 = 2231 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 77369 and 77381.

LCM(77369,77381) = 773691 × 2231 × 3471
LCM(77369,77381) = 5986890589