What is the Least Common Multiple of 99458 and 99471?
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 99458 and 99471 is 9893186718.
LCM(99458,99471) = 9893186718
Least Common Multiple of 99458 and 99471 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99458 and 99471, than apply into the LCM equation.
GCF(99458,99471) = 1
LCM(99458,99471) = ( 99458 × 99471) / 1
LCM(99458,99471) = 9893186718 / 1
LCM(99458,99471) = 9893186718
Least Common Multiple (LCM) of 99458 and 99471 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99458 and 99471. First we will calculate the prime factors of 99458 and 99471.
Prime Factorization of 99458
Prime factors of 99458 are 2, 223. Prime factorization of 99458 in exponential form is:
99458 = 21 × 2232
Prime Factorization of 99471
Prime factors of 99471 are 3, 71, 467. Prime factorization of 99471 in exponential form is:
99471 = 31 × 711 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 99458 and 99471.
LCM(99458,99471) = 21 × 2232 × 31 × 711 × 4671
LCM(99458,99471) = 9893186718
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