What is the Least Common Multiple of 98018 and 98027?
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 98018 and 98027 is 9608410486.
LCM(98018,98027) = 9608410486
Least Common Multiple of 98018 and 98027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98018 and 98027, than apply into the LCM equation.
GCF(98018,98027) = 1
LCM(98018,98027) = ( 98018 × 98027) / 1
LCM(98018,98027) = 9608410486 / 1
LCM(98018,98027) = 9608410486
Least Common Multiple (LCM) of 98018 and 98027 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98018 and 98027. First we will calculate the prime factors of 98018 and 98027.
Prime Factorization of 98018
Prime factors of 98018 are 2, 49009. Prime factorization of 98018 in exponential form is:
98018 = 21 × 490091
Prime Factorization of 98027
Prime factors of 98027 are 61, 1607. Prime factorization of 98027 in exponential form is:
98027 = 611 × 16071
Now multiplying the highest exponent prime factors to calculate the LCM of 98018 and 98027.
LCM(98018,98027) = 21 × 490091 × 611 × 16071
LCM(98018,98027) = 9608410486
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