What is the Least Common Multiple of 98406 and 98411?
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 98406 and 98411 is 9684232866.
LCM(98406,98411) = 9684232866
Least Common Multiple of 98406 and 98411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98406 and 98411, than apply into the LCM equation.
GCF(98406,98411) = 1
LCM(98406,98411) = ( 98406 × 98411) / 1
LCM(98406,98411) = 9684232866 / 1
LCM(98406,98411) = 9684232866
Least Common Multiple (LCM) of 98406 and 98411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98406 and 98411. First we will calculate the prime factors of 98406 and 98411.
Prime Factorization of 98406
Prime factors of 98406 are 2, 3, 7, 11, 71. Prime factorization of 98406 in exponential form is:
98406 = 21 × 32 × 71 × 111 × 711
Prime Factorization of 98411
Prime factors of 98411 are 98411. Prime factorization of 98411 in exponential form is:
98411 = 984111
Now multiplying the highest exponent prime factors to calculate the LCM of 98406 and 98411.
LCM(98406,98411) = 21 × 32 × 71 × 111 × 711 × 984111
LCM(98406,98411) = 9684232866
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