What is the Least Common Multiple of 92636 and 92654?
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 92636 and 92654 is 4291547972.
LCM(92636,92654) = 4291547972
Least Common Multiple of 92636 and 92654 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92636 and 92654, than apply into the LCM equation.
GCF(92636,92654) = 2
LCM(92636,92654) = ( 92636 × 92654) / 2
LCM(92636,92654) = 8583095944 / 2
LCM(92636,92654) = 4291547972
Least Common Multiple (LCM) of 92636 and 92654 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92636 and 92654. First we will calculate the prime factors of 92636 and 92654.
Prime Factorization of 92636
Prime factors of 92636 are 2, 23159. Prime factorization of 92636 in exponential form is:
92636 = 22 × 231591
Prime Factorization of 92654
Prime factors of 92654 are 2, 46327. Prime factorization of 92654 in exponential form is:
92654 = 21 × 463271
Now multiplying the highest exponent prime factors to calculate the LCM of 92636 and 92654.
LCM(92636,92654) = 22 × 231591 × 463271
LCM(92636,92654) = 4291547972
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