What is the Least Common Multiple of 98063 and 98078?
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 98063 and 98078 is 9617822914.
LCM(98063,98078) = 9617822914
Least Common Multiple of 98063 and 98078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98063 and 98078, than apply into the LCM equation.
GCF(98063,98078) = 1
LCM(98063,98078) = ( 98063 × 98078) / 1
LCM(98063,98078) = 9617822914 / 1
LCM(98063,98078) = 9617822914
Least Common Multiple (LCM) of 98063 and 98078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98063 and 98078. First we will calculate the prime factors of 98063 and 98078.
Prime Factorization of 98063
Prime factors of 98063 are 7, 14009. Prime factorization of 98063 in exponential form is:
98063 = 71 × 140091
Prime Factorization of 98078
Prime factors of 98078 are 2, 19, 29, 89. Prime factorization of 98078 in exponential form is:
98078 = 21 × 191 × 291 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 98063 and 98078.
LCM(98063,98078) = 71 × 140091 × 21 × 191 × 291 × 891
LCM(98063,98078) = 9617822914
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