What is the Least Common Multiple of 77013 and 77021?
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 77021 is 5931618273.
LCM(77013,77021) = 5931618273
Least Common Multiple of 77013 and 77021 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 77021, than apply into the LCM equation.
GCF(77013,77021) = 1
LCM(77013,77021) = ( 77013 × 77021) / 1
LCM(77013,77021) = 5931618273 / 1
LCM(77013,77021) = 5931618273
Least Common Multiple (LCM) of 77013 and 77021 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77013 and 77021. First we will calculate the prime factors of 77013 and 77021.
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 77021
Prime factors of 77021 are 7, 11003. Prime factorization of 77021 in exponential form is:
77021 = 71 × 110031
Now multiplying the highest exponent prime factors to calculate the LCM of 77013 and 77021.
LCM(77013,77021) = 32 × 431 × 1991 × 71 × 110031
LCM(77013,77021) = 5931618273
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