What is the Least Common Multiple of 99862 and 99867?
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 99862 and 99867 is 9972918354.
LCM(99862,99867) = 9972918354
Least Common Multiple of 99862 and 99867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99862 and 99867, than apply into the LCM equation.
GCF(99862,99867) = 1
LCM(99862,99867) = ( 99862 × 99867) / 1
LCM(99862,99867) = 9972918354 / 1
LCM(99862,99867) = 9972918354
Least Common Multiple (LCM) of 99862 and 99867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99862 and 99867. First we will calculate the prime factors of 99862 and 99867.
Prime Factorization of 99862
Prime factors of 99862 are 2, 7, 1019. Prime factorization of 99862 in exponential form is:
99862 = 21 × 72 × 10191
Prime Factorization of 99867
Prime factors of 99867 are 3, 33289. Prime factorization of 99867 in exponential form is:
99867 = 31 × 332891
Now multiplying the highest exponent prime factors to calculate the LCM of 99862 and 99867.
LCM(99862,99867) = 21 × 72 × 10191 × 31 × 332891
LCM(99862,99867) = 9972918354
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