What is the Least Common Multiple of 98852 and 98865?
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 98852 and 98865 is 751769460.
LCM(98852,98865) = 751769460
Least Common Multiple of 98852 and 98865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98852 and 98865, than apply into the LCM equation.
GCF(98852,98865) = 13
LCM(98852,98865) = ( 98852 × 98865) / 13
LCM(98852,98865) = 9773002980 / 13
LCM(98852,98865) = 751769460
Least Common Multiple (LCM) of 98852 and 98865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98852 and 98865. First we will calculate the prime factors of 98852 and 98865.
Prime Factorization of 98852
Prime factors of 98852 are 2, 13, 1901. Prime factorization of 98852 in exponential form is:
98852 = 22 × 131 × 19011
Prime Factorization of 98865
Prime factors of 98865 are 3, 5, 13. Prime factorization of 98865 in exponential form is:
98865 = 32 × 51 × 133
Now multiplying the highest exponent prime factors to calculate the LCM of 98852 and 98865.
LCM(98852,98865) = 22 × 133 × 19011 × 32 × 51
LCM(98852,98865) = 751769460
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