What is the Least Common Multiple of 77337 and 77344?
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 77337 and 77344 is 5981552928.
LCM(77337,77344) = 5981552928
Least Common Multiple of 77337 and 77344 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77337 and 77344, than apply into the LCM equation.
GCF(77337,77344) = 1
LCM(77337,77344) = ( 77337 × 77344) / 1
LCM(77337,77344) = 5981552928 / 1
LCM(77337,77344) = 5981552928
Least Common Multiple (LCM) of 77337 and 77344 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77337 and 77344. First we will calculate the prime factors of 77337 and 77344.
Prime Factorization of 77337
Prime factors of 77337 are 3, 13, 661. Prime factorization of 77337 in exponential form is:
77337 = 32 × 131 × 6611
Prime Factorization of 77344
Prime factors of 77344 are 2, 2417. Prime factorization of 77344 in exponential form is:
77344 = 25 × 24171
Now multiplying the highest exponent prime factors to calculate the LCM of 77337 and 77344.
LCM(77337,77344) = 32 × 131 × 6611 × 25 × 24171
LCM(77337,77344) = 5981552928
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