What is the Least Common Multiple of 77018 and 77030?
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 77018 and 77030 is 2966348270.
LCM(77018,77030) = 2966348270
Least Common Multiple of 77018 and 77030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77018 and 77030, than apply into the LCM equation.
GCF(77018,77030) = 2
LCM(77018,77030) = ( 77018 × 77030) / 2
LCM(77018,77030) = 5932696540 / 2
LCM(77018,77030) = 2966348270
Least Common Multiple (LCM) of 77018 and 77030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77018 and 77030. First we will calculate the prime factors of 77018 and 77030.
Prime Factorization of 77018
Prime factors of 77018 are 2, 97, 397. Prime factorization of 77018 in exponential form is:
77018 = 21 × 971 × 3971
Prime Factorization of 77030
Prime factors of 77030 are 2, 5, 7703. Prime factorization of 77030 in exponential form is:
77030 = 21 × 51 × 77031
Now multiplying the highest exponent prime factors to calculate the LCM of 77018 and 77030.
LCM(77018,77030) = 21 × 971 × 3971 × 51 × 77031
LCM(77018,77030) = 2966348270
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