What is the Least Common Multiple of 96994 and 97014?
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 96994 and 97014 is 4704887958.
LCM(96994,97014) = 4704887958
Least Common Multiple of 96994 and 97014 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96994 and 97014, than apply into the LCM equation.
GCF(96994,97014) = 2
LCM(96994,97014) = ( 96994 × 97014) / 2
LCM(96994,97014) = 9409775916 / 2
LCM(96994,97014) = 4704887958
Least Common Multiple (LCM) of 96994 and 97014 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96994 and 97014. First we will calculate the prime factors of 96994 and 97014.
Prime Factorization of 96994
Prime factors of 96994 are 2, 48497. Prime factorization of 96994 in exponential form is:
96994 = 21 × 484971
Prime Factorization of 97014
Prime factors of 97014 are 2, 3, 19, 23, 37. Prime factorization of 97014 in exponential form is:
97014 = 21 × 31 × 191 × 231 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 96994 and 97014.
LCM(96994,97014) = 21 × 484971 × 31 × 191 × 231 × 371
LCM(96994,97014) = 4704887958
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