What is the Least Common Multiple of 74077 and 74083?
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 74077 and 74083 is 5487846391.
LCM(74077,74083) = 5487846391
Least Common Multiple of 74077 and 74083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74077 and 74083, than apply into the LCM equation.
GCF(74077,74083) = 1
LCM(74077,74083) = ( 74077 × 74083) / 1
LCM(74077,74083) = 5487846391 / 1
LCM(74077,74083) = 5487846391
Least Common Multiple (LCM) of 74077 and 74083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74077 and 74083. First we will calculate the prime factors of 74077 and 74083.
Prime Factorization of 74077
Prime factors of 74077 are 74077. Prime factorization of 74077 in exponential form is:
74077 = 740771
Prime Factorization of 74083
Prime factors of 74083 are 23, 3221. Prime factorization of 74083 in exponential form is:
74083 = 231 × 32211
Now multiplying the highest exponent prime factors to calculate the LCM of 74077 and 74083.
LCM(74077,74083) = 740771 × 231 × 32211
LCM(74077,74083) = 5487846391
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