What is the Least Common Multiple of 9739 and 9747?
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 9739 and 9747 is 94926033.
LCM(9739,9747) = 94926033
Least Common Multiple of 9739 and 9747 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9739 and 9747, than apply into the LCM equation.
GCF(9739,9747) = 1
LCM(9739,9747) = ( 9739 × 9747) / 1
LCM(9739,9747) = 94926033 / 1
LCM(9739,9747) = 94926033
Least Common Multiple (LCM) of 9739 and 9747 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9739 and 9747. First we will calculate the prime factors of 9739 and 9747.
Prime Factorization of 9739
Prime factors of 9739 are 9739. Prime factorization of 9739 in exponential form is:
9739 = 97391
Prime Factorization of 9747
Prime factors of 9747 are 3, 19. Prime factorization of 9747 in exponential form is:
9747 = 33 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 9739 and 9747.
LCM(9739,9747) = 97391 × 33 × 192
LCM(9739,9747) = 94926033
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Related Least Common Multiples of 9747
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