What is the Least Common Multiple of 9782 and 9787?
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 9782 and 9787 is 95736434.
LCM(9782,9787) = 95736434
Least Common Multiple of 9782 and 9787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9782 and 9787, than apply into the LCM equation.
GCF(9782,9787) = 1
LCM(9782,9787) = ( 9782 × 9787) / 1
LCM(9782,9787) = 95736434 / 1
LCM(9782,9787) = 95736434
Least Common Multiple (LCM) of 9782 and 9787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9782 and 9787. First we will calculate the prime factors of 9782 and 9787.
Prime Factorization of 9782
Prime factors of 9782 are 2, 67, 73. Prime factorization of 9782 in exponential form is:
9782 = 21 × 671 × 731
Prime Factorization of 9787
Prime factors of 9787 are 9787. Prime factorization of 9787 in exponential form is:
9787 = 97871
Now multiplying the highest exponent prime factors to calculate the LCM of 9782 and 9787.
LCM(9782,9787) = 21 × 671 × 731 × 97871
LCM(9782,9787) = 95736434
Related Least Common Multiples of 9782
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Related Least Common Multiples of 9787
- LCM of 9787 and 9791
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- LCM of 9787 and 9796
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