What is the Least Common Multiple of 92596 and 92614?
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 92596 and 92614 is 4287842972.
LCM(92596,92614) = 4287842972
Least Common Multiple of 92596 and 92614 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92596 and 92614, than apply into the LCM equation.
GCF(92596,92614) = 2
LCM(92596,92614) = ( 92596 × 92614) / 2
LCM(92596,92614) = 8575685944 / 2
LCM(92596,92614) = 4287842972
Least Common Multiple (LCM) of 92596 and 92614 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92596 and 92614. First we will calculate the prime factors of 92596 and 92614.
Prime Factorization of 92596
Prime factors of 92596 are 2, 7, 3307. Prime factorization of 92596 in exponential form is:
92596 = 22 × 71 × 33071
Prime Factorization of 92614
Prime factors of 92614 are 2, 46307. Prime factorization of 92614 in exponential form is:
92614 = 21 × 463071
Now multiplying the highest exponent prime factors to calculate the LCM of 92596 and 92614.
LCM(92596,92614) = 22 × 71 × 33071 × 463071
LCM(92596,92614) = 4287842972
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