What is the Least Common Multiple of 98477 and 98490?
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 98477 and 98490 is 9698999730.
LCM(98477,98490) = 9698999730
Least Common Multiple of 98477 and 98490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98477 and 98490, than apply into the LCM equation.
GCF(98477,98490) = 1
LCM(98477,98490) = ( 98477 × 98490) / 1
LCM(98477,98490) = 9698999730 / 1
LCM(98477,98490) = 9698999730
Least Common Multiple (LCM) of 98477 and 98490 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98477 and 98490. First we will calculate the prime factors of 98477 and 98490.
Prime Factorization of 98477
Prime factors of 98477 are 19, 71, 73. Prime factorization of 98477 in exponential form is:
98477 = 191 × 711 × 731
Prime Factorization of 98490
Prime factors of 98490 are 2, 3, 5, 7, 67. Prime factorization of 98490 in exponential form is:
98490 = 21 × 31 × 51 × 72 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 98477 and 98490.
LCM(98477,98490) = 191 × 711 × 731 × 21 × 31 × 51 × 72 × 671
LCM(98477,98490) = 9698999730
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