What is the Least Common Multiple of 98554 and 98571?
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 98554 and 98571 is 9714566334.
LCM(98554,98571) = 9714566334
Least Common Multiple of 98554 and 98571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98554 and 98571, than apply into the LCM equation.
GCF(98554,98571) = 1
LCM(98554,98571) = ( 98554 × 98571) / 1
LCM(98554,98571) = 9714566334 / 1
LCM(98554,98571) = 9714566334
Least Common Multiple (LCM) of 98554 and 98571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98554 and 98571. First we will calculate the prime factors of 98554 and 98571.
Prime Factorization of 98554
Prime factors of 98554 are 2, 49277. Prime factorization of 98554 in exponential form is:
98554 = 21 × 492771
Prime Factorization of 98571
Prime factors of 98571 are 3, 11, 29, 103. Prime factorization of 98571 in exponential form is:
98571 = 31 × 111 × 291 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 98554 and 98571.
LCM(98554,98571) = 21 × 492771 × 31 × 111 × 291 × 1031
LCM(98554,98571) = 9714566334
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