What is the Least Common Multiple of 96759 and 96779?
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 96759 and 96779 is 9364239261.
LCM(96759,96779) = 9364239261
Least Common Multiple of 96759 and 96779 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96759 and 96779, than apply into the LCM equation.
GCF(96759,96779) = 1
LCM(96759,96779) = ( 96759 × 96779) / 1
LCM(96759,96779) = 9364239261 / 1
LCM(96759,96779) = 9364239261
Least Common Multiple (LCM) of 96759 and 96779 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96759 and 96779. First we will calculate the prime factors of 96759 and 96779.
Prime Factorization of 96759
Prime factors of 96759 are 3, 13, 827. Prime factorization of 96759 in exponential form is:
96759 = 32 × 131 × 8271
Prime Factorization of 96779
Prime factors of 96779 are 96779. Prime factorization of 96779 in exponential form is:
96779 = 967791
Now multiplying the highest exponent prime factors to calculate the LCM of 96759 and 96779.
LCM(96759,96779) = 32 × 131 × 8271 × 967791
LCM(96759,96779) = 9364239261
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