What is the Least Common Multiple of 92633 and 92638?
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 92633 and 92638 is 8581335854.
LCM(92633,92638) = 8581335854
Least Common Multiple of 92633 and 92638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92633 and 92638, than apply into the LCM equation.
GCF(92633,92638) = 1
LCM(92633,92638) = ( 92633 × 92638) / 1
LCM(92633,92638) = 8581335854 / 1
LCM(92633,92638) = 8581335854
Least Common Multiple (LCM) of 92633 and 92638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92633 and 92638. First we will calculate the prime factors of 92633 and 92638.
Prime Factorization of 92633
Prime factors of 92633 are 17, 5449. Prime factorization of 92633 in exponential form is:
92633 = 171 × 54491
Prime Factorization of 92638
Prime factors of 92638 are 2, 7, 13, 509. Prime factorization of 92638 in exponential form is:
92638 = 21 × 71 × 131 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 92633 and 92638.
LCM(92633,92638) = 171 × 54491 × 21 × 71 × 131 × 5091
LCM(92633,92638) = 8581335854
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