What is the Least Common Multiple of 9784 and 9788?
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 9784 and 9788 is 23941448.
LCM(9784,9788) = 23941448
Least Common Multiple of 9784 and 9788 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9784 and 9788, than apply into the LCM equation.
GCF(9784,9788) = 4
LCM(9784,9788) = ( 9784 × 9788) / 4
LCM(9784,9788) = 95765792 / 4
LCM(9784,9788) = 23941448
Least Common Multiple (LCM) of 9784 and 9788 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9784 and 9788. First we will calculate the prime factors of 9784 and 9788.
Prime Factorization of 9784
Prime factors of 9784 are 2, 1223. Prime factorization of 9784 in exponential form is:
9784 = 23 × 12231
Prime Factorization of 9788
Prime factors of 9788 are 2, 2447. Prime factorization of 9788 in exponential form is:
9788 = 22 × 24471
Now multiplying the highest exponent prime factors to calculate the LCM of 9784 and 9788.
LCM(9784,9788) = 23 × 12231 × 24471
LCM(9784,9788) = 23941448
Related Least Common Multiples of 9784
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Related Least Common Multiples of 9788
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