What is the Least Common Multiple of 99251 and 99267?
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 99251 and 99267 is 9852349017.
LCM(99251,99267) = 9852349017
Least Common Multiple of 99251 and 99267 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99251 and 99267, than apply into the LCM equation.
GCF(99251,99267) = 1
LCM(99251,99267) = ( 99251 × 99267) / 1
LCM(99251,99267) = 9852349017 / 1
LCM(99251,99267) = 9852349017
Least Common Multiple (LCM) of 99251 and 99267 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99251 and 99267. First we will calculate the prime factors of 99251 and 99267.
Prime Factorization of 99251
Prime factors of 99251 are 99251. Prime factorization of 99251 in exponential form is:
99251 = 992511
Prime Factorization of 99267
Prime factors of 99267 are 3, 7, 29, 163. Prime factorization of 99267 in exponential form is:
99267 = 31 × 71 × 291 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 99251 and 99267.
LCM(99251,99267) = 992511 × 31 × 71 × 291 × 1631
LCM(99251,99267) = 9852349017
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