What is the Least Common Multiple of 65162 and 65177?
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 65162 and 65177 is 4247063674.
LCM(65162,65177) = 4247063674
Least Common Multiple of 65162 and 65177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65162 and 65177, than apply into the LCM equation.
GCF(65162,65177) = 1
LCM(65162,65177) = ( 65162 × 65177) / 1
LCM(65162,65177) = 4247063674 / 1
LCM(65162,65177) = 4247063674
Least Common Multiple (LCM) of 65162 and 65177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65162 and 65177. First we will calculate the prime factors of 65162 and 65177.
Prime Factorization of 65162
Prime factors of 65162 are 2, 31, 1051. Prime factorization of 65162 in exponential form is:
65162 = 21 × 311 × 10511
Prime Factorization of 65177
Prime factors of 65177 are 7, 9311. Prime factorization of 65177 in exponential form is:
65177 = 71 × 93111
Now multiplying the highest exponent prime factors to calculate the LCM of 65162 and 65177.
LCM(65162,65177) = 21 × 311 × 10511 × 71 × 93111
LCM(65162,65177) = 4247063674
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