What is the Least Common Multiple of 99041 and 99058?
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 99041 and 99058 is 9810803378.
LCM(99041,99058) = 9810803378
Least Common Multiple of 99041 and 99058 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99041 and 99058, than apply into the LCM equation.
GCF(99041,99058) = 1
LCM(99041,99058) = ( 99041 × 99058) / 1
LCM(99041,99058) = 9810803378 / 1
LCM(99041,99058) = 9810803378
Least Common Multiple (LCM) of 99041 and 99058 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99041 and 99058. First we will calculate the prime factors of 99041 and 99058.
Prime Factorization of 99041
Prime factors of 99041 are 99041. Prime factorization of 99041 in exponential form is:
99041 = 990411
Prime Factorization of 99058
Prime factors of 99058 are 2, 49529. Prime factorization of 99058 in exponential form is:
99058 = 21 × 495291
Now multiplying the highest exponent prime factors to calculate the LCM of 99041 and 99058.
LCM(99041,99058) = 990411 × 21 × 495291
LCM(99041,99058) = 9810803378
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