What is the Least Common Multiple of 77022 and 77029?
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 77029 is 5932927638.
LCM(77022,77029) = 5932927638
Least Common Multiple of 77022 and 77029 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 77029, than apply into the LCM equation.
GCF(77022,77029) = 1
LCM(77022,77029) = ( 77022 × 77029) / 1
LCM(77022,77029) = 5932927638 / 1
LCM(77022,77029) = 5932927638
Least Common Multiple (LCM) of 77022 and 77029 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77022 and 77029. First we will calculate the prime factors of 77022 and 77029.
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 77029
Prime factors of 77029 are 77029. Prime factorization of 77029 in exponential form is:
77029 = 770291
Now multiplying the highest exponent prime factors to calculate the LCM of 77022 and 77029.
LCM(77022,77029) = 21 × 32 × 111 × 3891 × 770291
LCM(77022,77029) = 5932927638
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