What is the Least Common Multiple of 98882 and 98901?
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 98882 and 98901 is 9779528682.
LCM(98882,98901) = 9779528682
Least Common Multiple of 98882 and 98901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98882 and 98901, than apply into the LCM equation.
GCF(98882,98901) = 1
LCM(98882,98901) = ( 98882 × 98901) / 1
LCM(98882,98901) = 9779528682 / 1
LCM(98882,98901) = 9779528682
Least Common Multiple (LCM) of 98882 and 98901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98882 and 98901. First we will calculate the prime factors of 98882 and 98901.
Prime Factorization of 98882
Prime factors of 98882 are 2, 7, 1009. Prime factorization of 98882 in exponential form is:
98882 = 21 × 72 × 10091
Prime Factorization of 98901
Prime factors of 98901 are 3, 11, 37. Prime factorization of 98901 in exponential form is:
98901 = 35 × 111 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 98882 and 98901.
LCM(98882,98901) = 21 × 72 × 10091 × 35 × 111 × 371
LCM(98882,98901) = 9779528682
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