What is the Least Common Multiple of 77084 and 77103?
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 77084 and 77103 is 5943407652.
LCM(77084,77103) = 5943407652
Least Common Multiple of 77084 and 77103 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77084 and 77103, than apply into the LCM equation.
GCF(77084,77103) = 1
LCM(77084,77103) = ( 77084 × 77103) / 1
LCM(77084,77103) = 5943407652 / 1
LCM(77084,77103) = 5943407652
Least Common Multiple (LCM) of 77084 and 77103 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77084 and 77103. First we will calculate the prime factors of 77084 and 77103.
Prime Factorization of 77084
Prime factors of 77084 are 2, 7, 2753. Prime factorization of 77084 in exponential form is:
77084 = 22 × 71 × 27531
Prime Factorization of 77103
Prime factors of 77103 are 3, 13, 659. Prime factorization of 77103 in exponential form is:
77103 = 32 × 131 × 6591
Now multiplying the highest exponent prime factors to calculate the LCM of 77084 and 77103.
LCM(77084,77103) = 22 × 71 × 27531 × 32 × 131 × 6591
LCM(77084,77103) = 5943407652
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