What is the Least Common Multiple of 99170 and 99190?
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 99170 and 99190 is 983667230.
LCM(99170,99190) = 983667230
Least Common Multiple of 99170 and 99190 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99170 and 99190, than apply into the LCM equation.
GCF(99170,99190) = 10
LCM(99170,99190) = ( 99170 × 99190) / 10
LCM(99170,99190) = 9836672300 / 10
LCM(99170,99190) = 983667230
Least Common Multiple (LCM) of 99170 and 99190 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99170 and 99190. First we will calculate the prime factors of 99170 and 99190.
Prime Factorization of 99170
Prime factors of 99170 are 2, 5, 47, 211. Prime factorization of 99170 in exponential form is:
99170 = 21 × 51 × 471 × 2111
Prime Factorization of 99190
Prime factors of 99190 are 2, 5, 7, 13, 109. Prime factorization of 99190 in exponential form is:
99190 = 21 × 51 × 71 × 131 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 99170 and 99190.
LCM(99170,99190) = 21 × 51 × 471 × 2111 × 71 × 131 × 1091
LCM(99170,99190) = 983667230
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