What is the Least Common Multiple of 98655 and 98659?
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 98655 and 98659 is 9733203645.
LCM(98655,98659) = 9733203645
Least Common Multiple of 98655 and 98659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98655 and 98659, than apply into the LCM equation.
GCF(98655,98659) = 1
LCM(98655,98659) = ( 98655 × 98659) / 1
LCM(98655,98659) = 9733203645 / 1
LCM(98655,98659) = 9733203645
Least Common Multiple (LCM) of 98655 and 98659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98655 and 98659. First we will calculate the prime factors of 98655 and 98659.
Prime Factorization of 98655
Prime factors of 98655 are 3, 5, 6577. Prime factorization of 98655 in exponential form is:
98655 = 31 × 51 × 65771
Prime Factorization of 98659
Prime factors of 98659 are 11, 8969. Prime factorization of 98659 in exponential form is:
98659 = 111 × 89691
Now multiplying the highest exponent prime factors to calculate the LCM of 98655 and 98659.
LCM(98655,98659) = 31 × 51 × 65771 × 111 × 89691
LCM(98655,98659) = 9733203645
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