What is the Least Common Multiple of 98852 and 98866?
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 98866 is 4886550916.
LCM(98852,98866) = 4886550916
Least Common Multiple of 98852 and 98866 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 98866, than apply into the LCM equation.
GCF(98852,98866) = 2
LCM(98852,98866) = ( 98852 × 98866) / 2
LCM(98852,98866) = 9773101832 / 2
LCM(98852,98866) = 4886550916
Least Common Multiple (LCM) of 98852 and 98866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98852 and 98866. First we will calculate the prime factors of 98852 and 98866.
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 98866
Prime factors of 98866 are 2, 49433. Prime factorization of 98866 in exponential form is:
98866 = 21 × 494331
Now multiplying the highest exponent prime factors to calculate the LCM of 98852 and 98866.
LCM(98852,98866) = 22 × 131 × 19011 × 494331
LCM(98852,98866) = 4886550916
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