What is the Least Common Multiple of 99179 and 99189?
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 99179 and 99189 is 9837465831.
LCM(99179,99189) = 9837465831
Least Common Multiple of 99179 and 99189 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99179 and 99189, than apply into the LCM equation.
GCF(99179,99189) = 1
LCM(99179,99189) = ( 99179 × 99189) / 1
LCM(99179,99189) = 9837465831 / 1
LCM(99179,99189) = 9837465831
Least Common Multiple (LCM) of 99179 and 99189 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99179 and 99189. First we will calculate the prime factors of 99179 and 99189.
Prime Factorization of 99179
Prime factors of 99179 are 41, 59. Prime factorization of 99179 in exponential form is:
99179 = 412 × 591
Prime Factorization of 99189
Prime factors of 99189 are 3, 103, 107. Prime factorization of 99189 in exponential form is:
99189 = 32 × 1031 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 99179 and 99189.
LCM(99179,99189) = 412 × 591 × 32 × 1031 × 1071
LCM(99179,99189) = 9837465831
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