What is the Least Common Multiple of 98383 and 98390?
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 98383 and 98390 is 9679903370.
LCM(98383,98390) = 9679903370
Least Common Multiple of 98383 and 98390 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98383 and 98390, than apply into the LCM equation.
GCF(98383,98390) = 1
LCM(98383,98390) = ( 98383 × 98390) / 1
LCM(98383,98390) = 9679903370 / 1
LCM(98383,98390) = 9679903370
Least Common Multiple (LCM) of 98383 and 98390 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98383 and 98390. First we will calculate the prime factors of 98383 and 98390.
Prime Factorization of 98383
Prime factors of 98383 are 37, 2659. Prime factorization of 98383 in exponential form is:
98383 = 371 × 26591
Prime Factorization of 98390
Prime factors of 98390 are 2, 5, 9839. Prime factorization of 98390 in exponential form is:
98390 = 21 × 51 × 98391
Now multiplying the highest exponent prime factors to calculate the LCM of 98383 and 98390.
LCM(98383,98390) = 371 × 26591 × 21 × 51 × 98391
LCM(98383,98390) = 9679903370
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