What is the Least Common Multiple of 98242 and 98255?
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 98242 and 98255 is 9652767710.
LCM(98242,98255) = 9652767710
Least Common Multiple of 98242 and 98255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98242 and 98255, than apply into the LCM equation.
GCF(98242,98255) = 1
LCM(98242,98255) = ( 98242 × 98255) / 1
LCM(98242,98255) = 9652767710 / 1
LCM(98242,98255) = 9652767710
Least Common Multiple (LCM) of 98242 and 98255 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98242 and 98255. First we will calculate the prime factors of 98242 and 98255.
Prime Factorization of 98242
Prime factors of 98242 are 2, 49121. Prime factorization of 98242 in exponential form is:
98242 = 21 × 491211
Prime Factorization of 98255
Prime factors of 98255 are 5, 43, 457. Prime factorization of 98255 in exponential form is:
98255 = 51 × 431 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 98242 and 98255.
LCM(98242,98255) = 21 × 491211 × 51 × 431 × 4571
LCM(98242,98255) = 9652767710
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