What is the Least Common Multiple of 79177 and 79187?
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 79177 and 79187 is 6269789099.
LCM(79177,79187) = 6269789099
Least Common Multiple of 79177 and 79187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79177 and 79187, than apply into the LCM equation.
GCF(79177,79187) = 1
LCM(79177,79187) = ( 79177 × 79187) / 1
LCM(79177,79187) = 6269789099 / 1
LCM(79177,79187) = 6269789099
Least Common Multiple (LCM) of 79177 and 79187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79177 and 79187. First we will calculate the prime factors of 79177 and 79187.
Prime Factorization of 79177
Prime factors of 79177 are 7, 11311. Prime factorization of 79177 in exponential form is:
79177 = 71 × 113111
Prime Factorization of 79187
Prime factors of 79187 are 79187. Prime factorization of 79187 in exponential form is:
79187 = 791871
Now multiplying the highest exponent prime factors to calculate the LCM of 79177 and 79187.
LCM(79177,79187) = 71 × 113111 × 791871
LCM(79177,79187) = 6269789099
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