What is the Least Common Multiple of 99073 and 99092?
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 99073 and 99092 is 9817341716.
LCM(99073,99092) = 9817341716
Least Common Multiple of 99073 and 99092 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99073 and 99092, than apply into the LCM equation.
GCF(99073,99092) = 1
LCM(99073,99092) = ( 99073 × 99092) / 1
LCM(99073,99092) = 9817341716 / 1
LCM(99073,99092) = 9817341716
Least Common Multiple (LCM) of 99073 and 99092 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99073 and 99092. First we will calculate the prime factors of 99073 and 99092.
Prime Factorization of 99073
Prime factors of 99073 are 13, 7621. Prime factorization of 99073 in exponential form is:
99073 = 131 × 76211
Prime Factorization of 99092
Prime factors of 99092 are 2, 7, 3539. Prime factorization of 99092 in exponential form is:
99092 = 22 × 71 × 35391
Now multiplying the highest exponent prime factors to calculate the LCM of 99073 and 99092.
LCM(99073,99092) = 131 × 76211 × 22 × 71 × 35391
LCM(99073,99092) = 9817341716
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