What is the Least Common Multiple of 99451 and 99458?
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 99451 and 99458 is 9891197558.
LCM(99451,99458) = 9891197558
Least Common Multiple of 99451 and 99458 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99451 and 99458, than apply into the LCM equation.
GCF(99451,99458) = 1
LCM(99451,99458) = ( 99451 × 99458) / 1
LCM(99451,99458) = 9891197558 / 1
LCM(99451,99458) = 9891197558
Least Common Multiple (LCM) of 99451 and 99458 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99451 and 99458. First we will calculate the prime factors of 99451 and 99458.
Prime Factorization of 99451
Prime factors of 99451 are 11, 9041. Prime factorization of 99451 in exponential form is:
99451 = 111 × 90411
Prime Factorization of 99458
Prime factors of 99458 are 2, 223. Prime factorization of 99458 in exponential form is:
99458 = 21 × 2232
Now multiplying the highest exponent prime factors to calculate the LCM of 99451 and 99458.
LCM(99451,99458) = 111 × 90411 × 21 × 2232
LCM(99451,99458) = 9891197558
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