What is the Least Common Multiple of 65181 and 65199?
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 65181 and 65199 is 1416578673.
LCM(65181,65199) = 1416578673
Least Common Multiple of 65181 and 65199 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65181 and 65199, than apply into the LCM equation.
GCF(65181,65199) = 3
LCM(65181,65199) = ( 65181 × 65199) / 3
LCM(65181,65199) = 4249736019 / 3
LCM(65181,65199) = 1416578673
Least Common Multiple (LCM) of 65181 and 65199 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65181 and 65199. First we will calculate the prime factors of 65181 and 65199.
Prime Factorization of 65181
Prime factors of 65181 are 3, 21727. Prime factorization of 65181 in exponential form is:
65181 = 31 × 217271
Prime Factorization of 65199
Prime factors of 65199 are 3, 103, 211. Prime factorization of 65199 in exponential form is:
65199 = 31 × 1031 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 65181 and 65199.
LCM(65181,65199) = 31 × 217271 × 1031 × 2111
LCM(65181,65199) = 1416578673
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