What is the Least Common Multiple of 92794 and 92812?
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 92794 and 92812 is 4306198364.
LCM(92794,92812) = 4306198364
Least Common Multiple of 92794 and 92812 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92794 and 92812, than apply into the LCM equation.
GCF(92794,92812) = 2
LCM(92794,92812) = ( 92794 × 92812) / 2
LCM(92794,92812) = 8612396728 / 2
LCM(92794,92812) = 4306198364
Least Common Multiple (LCM) of 92794 and 92812 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92794 and 92812. First we will calculate the prime factors of 92794 and 92812.
Prime Factorization of 92794
Prime factors of 92794 are 2, 13, 43, 83. Prime factorization of 92794 in exponential form is:
92794 = 21 × 131 × 431 × 831
Prime Factorization of 92812
Prime factors of 92812 are 2, 23203. Prime factorization of 92812 in exponential form is:
92812 = 22 × 232031
Now multiplying the highest exponent prime factors to calculate the LCM of 92794 and 92812.
LCM(92794,92812) = 22 × 131 × 431 × 831 × 232031
LCM(92794,92812) = 4306198364
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