What is the Least Common Multiple of 77013 and 77022?
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 77013 and 77022 is 659077254.
LCM(77013,77022) = 659077254
Least Common Multiple of 77013 and 77022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77013 and 77022, than apply into the LCM equation.
GCF(77013,77022) = 9
LCM(77013,77022) = ( 77013 × 77022) / 9
LCM(77013,77022) = 5931695286 / 9
LCM(77013,77022) = 659077254
Least Common Multiple (LCM) of 77013 and 77022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77013 and 77022. First we will calculate the prime factors of 77013 and 77022.
Prime Factorization of 77013
Prime factors of 77013 are 3, 43, 199. Prime factorization of 77013 in exponential form is:
77013 = 32 × 431 × 1991
Prime Factorization of 77022
Prime factors of 77022 are 2, 3, 11, 389. Prime factorization of 77022 in exponential form is:
77022 = 21 × 32 × 111 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 77013 and 77022.
LCM(77013,77022) = 32 × 431 × 1991 × 21 × 111 × 3891
LCM(77013,77022) = 659077254
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