What is the Least Common Multiple of 65176 and 65181?
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 65176 and 65181 is 4248236856.
LCM(65176,65181) = 4248236856
Least Common Multiple of 65176 and 65181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65176 and 65181, than apply into the LCM equation.
GCF(65176,65181) = 1
LCM(65176,65181) = ( 65176 × 65181) / 1
LCM(65176,65181) = 4248236856 / 1
LCM(65176,65181) = 4248236856
Least Common Multiple (LCM) of 65176 and 65181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65176 and 65181. First we will calculate the prime factors of 65176 and 65181.
Prime Factorization of 65176
Prime factors of 65176 are 2, 8147. Prime factorization of 65176 in exponential form is:
65176 = 23 × 81471
Prime Factorization of 65181
Prime factors of 65181 are 3, 21727. Prime factorization of 65181 in exponential form is:
65181 = 31 × 217271
Now multiplying the highest exponent prime factors to calculate the LCM of 65176 and 65181.
LCM(65176,65181) = 23 × 81471 × 31 × 217271
LCM(65176,65181) = 4248236856
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