What is the Least Common Multiple of 77005 and 77019?
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 77005 and 77019 is 5930848095.
LCM(77005,77019) = 5930848095
Least Common Multiple of 77005 and 77019 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77005 and 77019, than apply into the LCM equation.
GCF(77005,77019) = 1
LCM(77005,77019) = ( 77005 × 77019) / 1
LCM(77005,77019) = 5930848095 / 1
LCM(77005,77019) = 5930848095
Least Common Multiple (LCM) of 77005 and 77019 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77005 and 77019. First we will calculate the prime factors of 77005 and 77019.
Prime Factorization of 77005
Prime factors of 77005 are 5, 15401. Prime factorization of 77005 in exponential form is:
77005 = 51 × 154011
Prime Factorization of 77019
Prime factors of 77019 are 3, 25673. Prime factorization of 77019 in exponential form is:
77019 = 31 × 256731
Now multiplying the highest exponent prime factors to calculate the LCM of 77005 and 77019.
LCM(77005,77019) = 51 × 154011 × 31 × 256731
LCM(77005,77019) = 5930848095
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