What is the Least Common Multiple of 9767 and 9779?
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 9767 and 9779 is 95511493.
LCM(9767,9779) = 95511493
Least Common Multiple of 9767 and 9779 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9767 and 9779, than apply into the LCM equation.
GCF(9767,9779) = 1
LCM(9767,9779) = ( 9767 × 9779) / 1
LCM(9767,9779) = 95511493 / 1
LCM(9767,9779) = 95511493
Least Common Multiple (LCM) of 9767 and 9779 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9767 and 9779. First we will calculate the prime factors of 9767 and 9779.
Prime Factorization of 9767
Prime factors of 9767 are 9767. Prime factorization of 9767 in exponential form is:
9767 = 97671
Prime Factorization of 9779
Prime factors of 9779 are 7, 11, 127. Prime factorization of 9779 in exponential form is:
9779 = 71 × 111 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 9767 and 9779.
LCM(9767,9779) = 97671 × 71 × 111 × 1271
LCM(9767,9779) = 95511493
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