What is the Least Common Multiple of 98662 and 98667?
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 98662 and 98667 is 9734683554.
LCM(98662,98667) = 9734683554
Least Common Multiple of 98662 and 98667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98662 and 98667, than apply into the LCM equation.
GCF(98662,98667) = 1
LCM(98662,98667) = ( 98662 × 98667) / 1
LCM(98662,98667) = 9734683554 / 1
LCM(98662,98667) = 9734683554
Least Common Multiple (LCM) of 98662 and 98667 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98662 and 98667. First we will calculate the prime factors of 98662 and 98667.
Prime Factorization of 98662
Prime factors of 98662 are 2, 49331. Prime factorization of 98662 in exponential form is:
98662 = 21 × 493311
Prime Factorization of 98667
Prime factors of 98667 are 3, 19, 577. Prime factorization of 98667 in exponential form is:
98667 = 32 × 191 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 98662 and 98667.
LCM(98662,98667) = 21 × 493311 × 32 × 191 × 5771
LCM(98662,98667) = 9734683554
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