What is the Least Common Multiple of 65815 and 65831?
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 65815 and 65831 is 4332667265.
LCM(65815,65831) = 4332667265
Least Common Multiple of 65815 and 65831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65815 and 65831, than apply into the LCM equation.
GCF(65815,65831) = 1
LCM(65815,65831) = ( 65815 × 65831) / 1
LCM(65815,65831) = 4332667265 / 1
LCM(65815,65831) = 4332667265
Least Common Multiple (LCM) of 65815 and 65831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65815 and 65831. First we will calculate the prime factors of 65815 and 65831.
Prime Factorization of 65815
Prime factors of 65815 are 5, 13163. Prime factorization of 65815 in exponential form is:
65815 = 51 × 131631
Prime Factorization of 65831
Prime factors of 65831 are 65831. Prime factorization of 65831 in exponential form is:
65831 = 658311
Now multiplying the highest exponent prime factors to calculate the LCM of 65815 and 65831.
LCM(65815,65831) = 51 × 131631 × 658311
LCM(65815,65831) = 4332667265
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