What is the Least Common Multiple of 88883 and 88892?
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 88883 and 88892 is 7900987636.
LCM(88883,88892) = 7900987636
Least Common Multiple of 88883 and 88892 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88883 and 88892, than apply into the LCM equation.
GCF(88883,88892) = 1
LCM(88883,88892) = ( 88883 × 88892) / 1
LCM(88883,88892) = 7900987636 / 1
LCM(88883,88892) = 7900987636
Least Common Multiple (LCM) of 88883 and 88892 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88883 and 88892. First we will calculate the prime factors of 88883 and 88892.
Prime Factorization of 88883
Prime factors of 88883 are 88883. Prime factorization of 88883 in exponential form is:
88883 = 888831
Prime Factorization of 88892
Prime factors of 88892 are 2, 71, 313. Prime factorization of 88892 in exponential form is:
88892 = 22 × 711 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 88883 and 88892.
LCM(88883,88892) = 888831 × 22 × 711 × 3131
LCM(88883,88892) = 7900987636
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