What is the Least Common Multiple of 65177 and 65194?
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 65177 and 65194 is 4249149338.
LCM(65177,65194) = 4249149338
Least Common Multiple of 65177 and 65194 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65177 and 65194, than apply into the LCM equation.
GCF(65177,65194) = 1
LCM(65177,65194) = ( 65177 × 65194) / 1
LCM(65177,65194) = 4249149338 / 1
LCM(65177,65194) = 4249149338
Least Common Multiple (LCM) of 65177 and 65194 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65177 and 65194. First we will calculate the prime factors of 65177 and 65194.
Prime Factorization of 65177
Prime factors of 65177 are 7, 9311. Prime factorization of 65177 in exponential form is:
65177 = 71 × 93111
Prime Factorization of 65194
Prime factors of 65194 are 2, 37, 881. Prime factorization of 65194 in exponential form is:
65194 = 21 × 371 × 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 65177 and 65194.
LCM(65177,65194) = 71 × 93111 × 21 × 371 × 8811
LCM(65177,65194) = 4249149338
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