What is the Least Common Multiple of 98608 and 98622?
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 98608 and 98622 is 4862459088.
LCM(98608,98622) = 4862459088
Least Common Multiple of 98608 and 98622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98608 and 98622, than apply into the LCM equation.
GCF(98608,98622) = 2
LCM(98608,98622) = ( 98608 × 98622) / 2
LCM(98608,98622) = 9724918176 / 2
LCM(98608,98622) = 4862459088
Least Common Multiple (LCM) of 98608 and 98622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98608 and 98622. First we will calculate the prime factors of 98608 and 98622.
Prime Factorization of 98608
Prime factors of 98608 are 2, 6163. Prime factorization of 98608 in exponential form is:
98608 = 24 × 61631
Prime Factorization of 98622
Prime factors of 98622 are 2, 3, 5479. Prime factorization of 98622 in exponential form is:
98622 = 21 × 32 × 54791
Now multiplying the highest exponent prime factors to calculate the LCM of 98608 and 98622.
LCM(98608,98622) = 24 × 61631 × 32 × 54791
LCM(98608,98622) = 4862459088
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