What is the Least Common Multiple of 98842 and 98861?
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 98842 and 98861 is 9771618962.
LCM(98842,98861) = 9771618962
Least Common Multiple of 98842 and 98861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98842 and 98861, than apply into the LCM equation.
GCF(98842,98861) = 1
LCM(98842,98861) = ( 98842 × 98861) / 1
LCM(98842,98861) = 9771618962 / 1
LCM(98842,98861) = 9771618962
Least Common Multiple (LCM) of 98842 and 98861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98842 and 98861. First we will calculate the prime factors of 98842 and 98861.
Prime Factorization of 98842
Prime factors of 98842 are 2, 73, 677. Prime factorization of 98842 in exponential form is:
98842 = 21 × 731 × 6771
Prime Factorization of 98861
Prime factors of 98861 are 7, 29, 487. Prime factorization of 98861 in exponential form is:
98861 = 71 × 291 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 98842 and 98861.
LCM(98842,98861) = 21 × 731 × 6771 × 71 × 291 × 4871
LCM(98842,98861) = 9771618962
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