What is the Least Common Multiple of 98486 and 98501?
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 98486 and 98501 is 9700969486.
LCM(98486,98501) = 9700969486
Least Common Multiple of 98486 and 98501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98486 and 98501, than apply into the LCM equation.
GCF(98486,98501) = 1
LCM(98486,98501) = ( 98486 × 98501) / 1
LCM(98486,98501) = 9700969486 / 1
LCM(98486,98501) = 9700969486
Least Common Multiple (LCM) of 98486 and 98501 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98486 and 98501. First we will calculate the prime factors of 98486 and 98501.
Prime Factorization of 98486
Prime factors of 98486 are 2, 23, 2141. Prime factorization of 98486 in exponential form is:
98486 = 21 × 231 × 21411
Prime Factorization of 98501
Prime factors of 98501 are 13, 7577. Prime factorization of 98501 in exponential form is:
98501 = 131 × 75771
Now multiplying the highest exponent prime factors to calculate the LCM of 98486 and 98501.
LCM(98486,98501) = 21 × 231 × 21411 × 131 × 75771
LCM(98486,98501) = 9700969486
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