What is the Least Common Multiple of 99137 and 99150?
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 99137 and 99150 is 9829433550.
LCM(99137,99150) = 9829433550
Least Common Multiple of 99137 and 99150 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99137 and 99150, than apply into the LCM equation.
GCF(99137,99150) = 1
LCM(99137,99150) = ( 99137 × 99150) / 1
LCM(99137,99150) = 9829433550 / 1
LCM(99137,99150) = 9829433550
Least Common Multiple (LCM) of 99137 and 99150 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99137 and 99150. First we will calculate the prime factors of 99137 and 99150.
Prime Factorization of 99137
Prime factors of 99137 are 99137. Prime factorization of 99137 in exponential form is:
99137 = 991371
Prime Factorization of 99150
Prime factors of 99150 are 2, 3, 5, 661. Prime factorization of 99150 in exponential form is:
99150 = 21 × 31 × 52 × 6611
Now multiplying the highest exponent prime factors to calculate the LCM of 99137 and 99150.
LCM(99137,99150) = 991371 × 21 × 31 × 52 × 6611
LCM(99137,99150) = 9829433550
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