What is the Least Common Multiple of 98701 and 98705?
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 98701 and 98705 is 9742282205.
LCM(98701,98705) = 9742282205
Least Common Multiple of 98701 and 98705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98701 and 98705, than apply into the LCM equation.
GCF(98701,98705) = 1
LCM(98701,98705) = ( 98701 × 98705) / 1
LCM(98701,98705) = 9742282205 / 1
LCM(98701,98705) = 9742282205
Least Common Multiple (LCM) of 98701 and 98705 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98701 and 98705. First we will calculate the prime factors of 98701 and 98705.
Prime Factorization of 98701
Prime factors of 98701 are 89, 1109. Prime factorization of 98701 in exponential form is:
98701 = 891 × 11091
Prime Factorization of 98705
Prime factors of 98705 are 5, 19, 1039. Prime factorization of 98705 in exponential form is:
98705 = 51 × 191 × 10391
Now multiplying the highest exponent prime factors to calculate the LCM of 98701 and 98705.
LCM(98701,98705) = 891 × 11091 × 51 × 191 × 10391
LCM(98701,98705) = 9742282205
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