What is the Least Common Multiple of 65177 and 65182?
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 65182 is 4248367214.
LCM(65177,65182) = 4248367214
Least Common Multiple of 65177 and 65182 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 65182, than apply into the LCM equation.
GCF(65177,65182) = 1
LCM(65177,65182) = ( 65177 × 65182) / 1
LCM(65177,65182) = 4248367214 / 1
LCM(65177,65182) = 4248367214
Least Common Multiple (LCM) of 65177 and 65182 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65177 and 65182. First we will calculate the prime factors of 65177 and 65182.
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 65182
Prime factors of 65182 are 2, 13, 23, 109. Prime factorization of 65182 in exponential form is:
65182 = 21 × 131 × 231 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 65177 and 65182.
LCM(65177,65182) = 71 × 93111 × 21 × 131 × 231 × 1091
LCM(65177,65182) = 4248367214
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