What is the Least Common Multiple of 98841 and 98860?
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 98841 and 98860 is 9771421260.
LCM(98841,98860) = 9771421260
Least Common Multiple of 98841 and 98860 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98841 and 98860, than apply into the LCM equation.
GCF(98841,98860) = 1
LCM(98841,98860) = ( 98841 × 98860) / 1
LCM(98841,98860) = 9771421260 / 1
LCM(98841,98860) = 9771421260
Least Common Multiple (LCM) of 98841 and 98860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98841 and 98860. First we will calculate the prime factors of 98841 and 98860.
Prime Factorization of 98841
Prime factors of 98841 are 3, 47, 701. Prime factorization of 98841 in exponential form is:
98841 = 31 × 471 × 7011
Prime Factorization of 98860
Prime factors of 98860 are 2, 5, 4943. Prime factorization of 98860 in exponential form is:
98860 = 22 × 51 × 49431
Now multiplying the highest exponent prime factors to calculate the LCM of 98841 and 98860.
LCM(98841,98860) = 31 × 471 × 7011 × 22 × 51 × 49431
LCM(98841,98860) = 9771421260
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