What is the Least Common Multiple of 96921 and 96937?
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 96921 and 96937 is 9395230977.
LCM(96921,96937) = 9395230977
Least Common Multiple of 96921 and 96937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96921 and 96937, than apply into the LCM equation.
GCF(96921,96937) = 1
LCM(96921,96937) = ( 96921 × 96937) / 1
LCM(96921,96937) = 9395230977 / 1
LCM(96921,96937) = 9395230977
Least Common Multiple (LCM) of 96921 and 96937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96921 and 96937. First we will calculate the prime factors of 96921 and 96937.
Prime Factorization of 96921
Prime factors of 96921 are 3, 11, 89. Prime factorization of 96921 in exponential form is:
96921 = 32 × 112 × 891
Prime Factorization of 96937
Prime factors of 96937 are 31, 53, 59. Prime factorization of 96937 in exponential form is:
96937 = 311 × 531 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 96921 and 96937.
LCM(96921,96937) = 32 × 112 × 891 × 311 × 531 × 591
LCM(96921,96937) = 9395230977
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