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What is the Least Common Multiple of 77663 and 77671?

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 77663 and 77671 is 6032162873.

LCM(77663,77671) = 6032162873

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Least Common Multiple of 77663 and 77671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77663 and 77671, than apply into the LCM equation.

GCF(77663,77671) = 1
LCM(77663,77671) = ( 77663 × 77671) / 1
LCM(77663,77671) = 6032162873 / 1
LCM(77663,77671) = 6032162873

Least Common Multiple (LCM) of 77663 and 77671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77663 and 77671. First we will calculate the prime factors of 77663 and 77671.

Prime Factorization of 77663

Prime factors of 77663 are 37, 2099. Prime factorization of 77663 in exponential form is:

77663 = 371 × 20991

Prime Factorization of 77671

Prime factors of 77671 are 11, 23, 307. Prime factorization of 77671 in exponential form is:

77671 = 111 × 231 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 77663 and 77671.

LCM(77663,77671) = 371 × 20991 × 111 × 231 × 3071
LCM(77663,77671) = 6032162873