What is the Least Common Multiple of 7159 and 7178?
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 7159 and 7178 is 51387302.
LCM(7159,7178) = 51387302
Least Common Multiple of 7159 and 7178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7159 and 7178, than apply into the LCM equation.
GCF(7159,7178) = 1
LCM(7159,7178) = ( 7159 × 7178) / 1
LCM(7159,7178) = 51387302 / 1
LCM(7159,7178) = 51387302
Least Common Multiple (LCM) of 7159 and 7178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7159 and 7178. First we will calculate the prime factors of 7159 and 7178.
Prime Factorization of 7159
Prime factors of 7159 are 7159. Prime factorization of 7159 in exponential form is:
7159 = 71591
Prime Factorization of 7178
Prime factors of 7178 are 2, 37, 97. Prime factorization of 7178 in exponential form is:
7178 = 21 × 371 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 7159 and 7178.
LCM(7159,7178) = 71591 × 21 × 371 × 971
LCM(7159,7178) = 51387302
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