What is the Least Common Multiple of 98903 and 98907?
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 98903 and 98907 is 9782199021.
LCM(98903,98907) = 9782199021
Least Common Multiple of 98903 and 98907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98903 and 98907, than apply into the LCM equation.
GCF(98903,98907) = 1
LCM(98903,98907) = ( 98903 × 98907) / 1
LCM(98903,98907) = 9782199021 / 1
LCM(98903,98907) = 9782199021
Least Common Multiple (LCM) of 98903 and 98907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98903 and 98907. First we will calculate the prime factors of 98903 and 98907.
Prime Factorization of 98903
Prime factors of 98903 are 7, 71, 199. Prime factorization of 98903 in exponential form is:
98903 = 71 × 711 × 1991
Prime Factorization of 98907
Prime factors of 98907 are 3, 32969. Prime factorization of 98907 in exponential form is:
98907 = 31 × 329691
Now multiplying the highest exponent prime factors to calculate the LCM of 98903 and 98907.
LCM(98903,98907) = 71 × 711 × 1991 × 31 × 329691
LCM(98903,98907) = 9782199021
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