What is the Least Common Multiple of 76018 and 76022?
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 76018 and 76022 is 2889520198.
LCM(76018,76022) = 2889520198
Least Common Multiple of 76018 and 76022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76018 and 76022, than apply into the LCM equation.
GCF(76018,76022) = 2
LCM(76018,76022) = ( 76018 × 76022) / 2
LCM(76018,76022) = 5779040396 / 2
LCM(76018,76022) = 2889520198
Least Common Multiple (LCM) of 76018 and 76022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76018 and 76022. First we will calculate the prime factors of 76018 and 76022.
Prime Factorization of 76018
Prime factors of 76018 are 2, 191, 199. Prime factorization of 76018 in exponential form is:
76018 = 21 × 1911 × 1991
Prime Factorization of 76022
Prime factors of 76022 are 2, 38011. Prime factorization of 76022 in exponential form is:
76022 = 21 × 380111
Now multiplying the highest exponent prime factors to calculate the LCM of 76018 and 76022.
LCM(76018,76022) = 21 × 1911 × 1991 × 380111
LCM(76018,76022) = 2889520198
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