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What is the Least Common Multiple of 77694 and 77711?

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 77694 and 77711 is 6037678434.

LCM(77694,77711) = 6037678434

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Least Common Multiple of 77694 and 77711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77694 and 77711, than apply into the LCM equation.

GCF(77694,77711) = 1
LCM(77694,77711) = ( 77694 × 77711) / 1
LCM(77694,77711) = 6037678434 / 1
LCM(77694,77711) = 6037678434

Least Common Multiple (LCM) of 77694 and 77711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77694 and 77711. First we will calculate the prime factors of 77694 and 77711.

Prime Factorization of 77694

Prime factors of 77694 are 2, 3, 23, 563. Prime factorization of 77694 in exponential form is:

77694 = 21 × 31 × 231 × 5631

Prime Factorization of 77711

Prime factors of 77711 are 77711. Prime factorization of 77711 in exponential form is:

77711 = 777111

Now multiplying the highest exponent prime factors to calculate the LCM of 77694 and 77711.

LCM(77694,77711) = 21 × 31 × 231 × 5631 × 777111
LCM(77694,77711) = 6037678434