What is the Least Common Multiple of 77083 and 77097?
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 77083 and 77097 is 5942868051.
LCM(77083,77097) = 5942868051
Least Common Multiple of 77083 and 77097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77083 and 77097, than apply into the LCM equation.
GCF(77083,77097) = 1
LCM(77083,77097) = ( 77083 × 77097) / 1
LCM(77083,77097) = 5942868051 / 1
LCM(77083,77097) = 5942868051
Least Common Multiple (LCM) of 77083 and 77097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77083 and 77097. First we will calculate the prime factors of 77083 and 77097.
Prime Factorization of 77083
Prime factors of 77083 are 19, 4057. Prime factorization of 77083 in exponential form is:
77083 = 191 × 40571
Prime Factorization of 77097
Prime factors of 77097 are 3, 31, 829. Prime factorization of 77097 in exponential form is:
77097 = 31 × 311 × 8291
Now multiplying the highest exponent prime factors to calculate the LCM of 77083 and 77097.
LCM(77083,77097) = 191 × 40571 × 31 × 311 × 8291
LCM(77083,77097) = 5942868051
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