What is the Least Common Multiple of 98062 and 98082?
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 98062 and 98082 is 4809058542.
LCM(98062,98082) = 4809058542
Least Common Multiple of 98062 and 98082 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98062 and 98082, than apply into the LCM equation.
GCF(98062,98082) = 2
LCM(98062,98082) = ( 98062 × 98082) / 2
LCM(98062,98082) = 9618117084 / 2
LCM(98062,98082) = 4809058542
Least Common Multiple (LCM) of 98062 and 98082 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98062 and 98082. First we will calculate the prime factors of 98062 and 98082.
Prime Factorization of 98062
Prime factors of 98062 are 2, 49031. Prime factorization of 98062 in exponential form is:
98062 = 21 × 490311
Prime Factorization of 98082
Prime factors of 98082 are 2, 3, 5449. Prime factorization of 98082 in exponential form is:
98082 = 21 × 32 × 54491
Now multiplying the highest exponent prime factors to calculate the LCM of 98062 and 98082.
LCM(98062,98082) = 21 × 490311 × 32 × 54491
LCM(98062,98082) = 4809058542
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