What is the Least Common Multiple of 95978 and 95997?
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 95978 and 95997 is 9213600066.
LCM(95978,95997) = 9213600066
Least Common Multiple of 95978 and 95997 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95978 and 95997, than apply into the LCM equation.
GCF(95978,95997) = 1
LCM(95978,95997) = ( 95978 × 95997) / 1
LCM(95978,95997) = 9213600066 / 1
LCM(95978,95997) = 9213600066
Least Common Multiple (LCM) of 95978 and 95997 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95978 and 95997. First we will calculate the prime factors of 95978 and 95997.
Prime Factorization of 95978
Prime factors of 95978 are 2, 37, 1297. Prime factorization of 95978 in exponential form is:
95978 = 21 × 371 × 12971
Prime Factorization of 95997
Prime factors of 95997 are 3, 11, 2909. Prime factorization of 95997 in exponential form is:
95997 = 31 × 111 × 29091
Now multiplying the highest exponent prime factors to calculate the LCM of 95978 and 95997.
LCM(95978,95997) = 21 × 371 × 12971 × 31 × 111 × 29091
LCM(95978,95997) = 9213600066
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