What is the Least Common Multiple of 92963 and 92982?
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 92963 and 92982 is 8643885666.
LCM(92963,92982) = 8643885666
Least Common Multiple of 92963 and 92982 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92963 and 92982, than apply into the LCM equation.
GCF(92963,92982) = 1
LCM(92963,92982) = ( 92963 × 92982) / 1
LCM(92963,92982) = 8643885666 / 1
LCM(92963,92982) = 8643885666
Least Common Multiple (LCM) of 92963 and 92982 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92963 and 92982. First we will calculate the prime factors of 92963 and 92982.
Prime Factorization of 92963
Prime factors of 92963 are 13, 7151. Prime factorization of 92963 in exponential form is:
92963 = 131 × 71511
Prime Factorization of 92982
Prime factors of 92982 are 2, 3, 15497. Prime factorization of 92982 in exponential form is:
92982 = 21 × 31 × 154971
Now multiplying the highest exponent prime factors to calculate the LCM of 92963 and 92982.
LCM(92963,92982) = 131 × 71511 × 21 × 31 × 154971
LCM(92963,92982) = 8643885666
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