What is the Least Common Multiple of 77663 and 77683?
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 77683 is 6033094829.
LCM(77663,77683) = 6033094829
Least Common Multiple of 77663 and 77683 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 77683, than apply into the LCM equation.
GCF(77663,77683) = 1
LCM(77663,77683) = ( 77663 × 77683) / 1
LCM(77663,77683) = 6033094829 / 1
LCM(77663,77683) = 6033094829
Least Common Multiple (LCM) of 77663 and 77683 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77663 and 77683. First we will calculate the prime factors of 77663 and 77683.
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 77683
Prime factors of 77683 are 131, 593. Prime factorization of 77683 in exponential form is:
77683 = 1311 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 77663 and 77683.
LCM(77663,77683) = 371 × 20991 × 1311 × 5931
LCM(77663,77683) = 6033094829
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