What is the Least Common Multiple of 96956 and 96966?
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 96956 and 96966 is 4700717748.
LCM(96956,96966) = 4700717748
Least Common Multiple of 96956 and 96966 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96956 and 96966, than apply into the LCM equation.
GCF(96956,96966) = 2
LCM(96956,96966) = ( 96956 × 96966) / 2
LCM(96956,96966) = 9401435496 / 2
LCM(96956,96966) = 4700717748
Least Common Multiple (LCM) of 96956 and 96966 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96956 and 96966. First we will calculate the prime factors of 96956 and 96966.
Prime Factorization of 96956
Prime factors of 96956 are 2, 24239. Prime factorization of 96956 in exponential form is:
96956 = 22 × 242391
Prime Factorization of 96966
Prime factors of 96966 are 2, 3, 5387. Prime factorization of 96966 in exponential form is:
96966 = 21 × 32 × 53871
Now multiplying the highest exponent prime factors to calculate the LCM of 96956 and 96966.
LCM(96956,96966) = 22 × 242391 × 32 × 53871
LCM(96956,96966) = 4700717748
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