What is the Least Common Multiple of 77022 and 77033?
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 77022 and 77033 is 539385066.
LCM(77022,77033) = 539385066
Least Common Multiple of 77022 and 77033 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77022 and 77033, than apply into the LCM equation.
GCF(77022,77033) = 11
LCM(77022,77033) = ( 77022 × 77033) / 11
LCM(77022,77033) = 5933235726 / 11
LCM(77022,77033) = 539385066
Least Common Multiple (LCM) of 77022 and 77033 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77022 and 77033. First we will calculate the prime factors of 77022 and 77033.
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
Prime Factorization of 77033
Prime factors of 77033 are 11, 47, 149. Prime factorization of 77033 in exponential form is:
77033 = 111 × 471 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 77022 and 77033.
LCM(77022,77033) = 21 × 32 × 111 × 3891 × 471 × 1491
LCM(77022,77033) = 539385066
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