What is the Least Common Multiple of 7187 and 7195?
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 7187 and 7195 is 51710465.
LCM(7187,7195) = 51710465
Least Common Multiple of 7187 and 7195 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7187 and 7195, than apply into the LCM equation.
GCF(7187,7195) = 1
LCM(7187,7195) = ( 7187 × 7195) / 1
LCM(7187,7195) = 51710465 / 1
LCM(7187,7195) = 51710465
Least Common Multiple (LCM) of 7187 and 7195 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7187 and 7195. First we will calculate the prime factors of 7187 and 7195.
Prime Factorization of 7187
Prime factors of 7187 are 7187. Prime factorization of 7187 in exponential form is:
7187 = 71871
Prime Factorization of 7195
Prime factors of 7195 are 5, 1439. Prime factorization of 7195 in exponential form is:
7195 = 51 × 14391
Now multiplying the highest exponent prime factors to calculate the LCM of 7187 and 7195.
LCM(7187,7195) = 71871 × 51 × 14391
LCM(7187,7195) = 51710465
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