What is the Least Common Multiple of 98482 and 98488?
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 98482 and 98488 is 4849647608.
LCM(98482,98488) = 4849647608
Least Common Multiple of 98482 and 98488 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98482 and 98488, than apply into the LCM equation.
GCF(98482,98488) = 2
LCM(98482,98488) = ( 98482 × 98488) / 2
LCM(98482,98488) = 9699295216 / 2
LCM(98482,98488) = 4849647608
Least Common Multiple (LCM) of 98482 and 98488 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98482 and 98488. First we will calculate the prime factors of 98482 and 98488.
Prime Factorization of 98482
Prime factors of 98482 are 2, 41, 1201. Prime factorization of 98482 in exponential form is:
98482 = 21 × 411 × 12011
Prime Factorization of 98488
Prime factors of 98488 are 2, 13, 947. Prime factorization of 98488 in exponential form is:
98488 = 23 × 131 × 9471
Now multiplying the highest exponent prime factors to calculate the LCM of 98482 and 98488.
LCM(98482,98488) = 23 × 411 × 12011 × 131 × 9471
LCM(98482,98488) = 4849647608
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