What is the Least Common Multiple of 98465 and 98477?
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 98465 and 98477 is 9696537805.
LCM(98465,98477) = 9696537805
Least Common Multiple of 98465 and 98477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98465 and 98477, than apply into the LCM equation.
GCF(98465,98477) = 1
LCM(98465,98477) = ( 98465 × 98477) / 1
LCM(98465,98477) = 9696537805 / 1
LCM(98465,98477) = 9696537805
Least Common Multiple (LCM) of 98465 and 98477 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98465 and 98477. First we will calculate the prime factors of 98465 and 98477.
Prime Factorization of 98465
Prime factors of 98465 are 5, 47, 419. Prime factorization of 98465 in exponential form is:
98465 = 51 × 471 × 4191
Prime Factorization of 98477
Prime factors of 98477 are 19, 71, 73. Prime factorization of 98477 in exponential form is:
98477 = 191 × 711 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 98465 and 98477.
LCM(98465,98477) = 51 × 471 × 4191 × 191 × 711 × 731
LCM(98465,98477) = 9696537805
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