What is the Least Common Multiple of 98583 and 98588?
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 98583 and 98588 is 9719100804.
LCM(98583,98588) = 9719100804
Least Common Multiple of 98583 and 98588 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98583 and 98588, than apply into the LCM equation.
GCF(98583,98588) = 1
LCM(98583,98588) = ( 98583 × 98588) / 1
LCM(98583,98588) = 9719100804 / 1
LCM(98583,98588) = 9719100804
Least Common Multiple (LCM) of 98583 and 98588 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98583 and 98588. First we will calculate the prime factors of 98583 and 98588.
Prime Factorization of 98583
Prime factors of 98583 are 3, 17, 1933. Prime factorization of 98583 in exponential form is:
98583 = 31 × 171 × 19331
Prime Factorization of 98588
Prime factors of 98588 are 2, 7, 503. Prime factorization of 98588 in exponential form is:
98588 = 22 × 72 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 98583 and 98588.
LCM(98583,98588) = 31 × 171 × 19331 × 22 × 72 × 5031
LCM(98583,98588) = 9719100804
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