What is the Least Common Multiple of 98622 and 98638?
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 98622 and 98638 is 4863938418.
LCM(98622,98638) = 4863938418
Least Common Multiple of 98622 and 98638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98622 and 98638, than apply into the LCM equation.
GCF(98622,98638) = 2
LCM(98622,98638) = ( 98622 × 98638) / 2
LCM(98622,98638) = 9727876836 / 2
LCM(98622,98638) = 4863938418
Least Common Multiple (LCM) of 98622 and 98638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98622 and 98638. First we will calculate the prime factors of 98622 and 98638.
Prime Factorization of 98622
Prime factors of 98622 are 2, 3, 5479. Prime factorization of 98622 in exponential form is:
98622 = 21 × 32 × 54791
Prime Factorization of 98638
Prime factors of 98638 are 2, 149, 331. Prime factorization of 98638 in exponential form is:
98638 = 21 × 1491 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 98622 and 98638.
LCM(98622,98638) = 21 × 32 × 54791 × 1491 × 3311
LCM(98622,98638) = 4863938418
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