What is the Least Common Multiple of 98822 and 98841?
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 98822 and 98841 is 9767665302.
LCM(98822,98841) = 9767665302
Least Common Multiple of 98822 and 98841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98822 and 98841, than apply into the LCM equation.
GCF(98822,98841) = 1
LCM(98822,98841) = ( 98822 × 98841) / 1
LCM(98822,98841) = 9767665302 / 1
LCM(98822,98841) = 9767665302
Least Common Multiple (LCM) of 98822 and 98841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98822 and 98841. First we will calculate the prime factors of 98822 and 98841.
Prime Factorization of 98822
Prime factors of 98822 are 2, 49411. Prime factorization of 98822 in exponential form is:
98822 = 21 × 494111
Prime Factorization of 98841
Prime factors of 98841 are 3, 47, 701. Prime factorization of 98841 in exponential form is:
98841 = 31 × 471 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 98822 and 98841.
LCM(98822,98841) = 21 × 494111 × 31 × 471 × 7011
LCM(98822,98841) = 9767665302
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