What is the Least Common Multiple of 92927 and 92946?
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 92927 and 92946 is 8637192942.
LCM(92927,92946) = 8637192942
Least Common Multiple of 92927 and 92946 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92927 and 92946, than apply into the LCM equation.
GCF(92927,92946) = 1
LCM(92927,92946) = ( 92927 × 92946) / 1
LCM(92927,92946) = 8637192942 / 1
LCM(92927,92946) = 8637192942
Least Common Multiple (LCM) of 92927 and 92946 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92927 and 92946. First we will calculate the prime factors of 92927 and 92946.
Prime Factorization of 92927
Prime factors of 92927 are 92927. Prime factorization of 92927 in exponential form is:
92927 = 929271
Prime Factorization of 92946
Prime factors of 92946 are 2, 3, 7, 2213. Prime factorization of 92946 in exponential form is:
92946 = 21 × 31 × 71 × 22131
Now multiplying the highest exponent prime factors to calculate the LCM of 92927 and 92946.
LCM(92927,92946) = 929271 × 21 × 31 × 71 × 22131
LCM(92927,92946) = 8637192942
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