What is the Least Common Multiple of 92638 and 92647?
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 92638 and 92647 is 8582632786.
LCM(92638,92647) = 8582632786
Least Common Multiple of 92638 and 92647 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92638 and 92647, than apply into the LCM equation.
GCF(92638,92647) = 1
LCM(92638,92647) = ( 92638 × 92647) / 1
LCM(92638,92647) = 8582632786 / 1
LCM(92638,92647) = 8582632786
Least Common Multiple (LCM) of 92638 and 92647 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92638 and 92647. First we will calculate the prime factors of 92638 and 92647.
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
Prime Factorization of 92647
Prime factors of 92647 are 92647. Prime factorization of 92647 in exponential form is:
92647 = 926471
Now multiplying the highest exponent prime factors to calculate the LCM of 92638 and 92647.
LCM(92638,92647) = 21 × 71 × 131 × 5091 × 926471
LCM(92638,92647) = 8582632786
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