What is the Least Common Multiple of 77014 and 77031?
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 77014 and 77031 is 5932465434.
LCM(77014,77031) = 5932465434
Least Common Multiple of 77014 and 77031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77014 and 77031, than apply into the LCM equation.
GCF(77014,77031) = 1
LCM(77014,77031) = ( 77014 × 77031) / 1
LCM(77014,77031) = 5932465434 / 1
LCM(77014,77031) = 5932465434
Least Common Multiple (LCM) of 77014 and 77031 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77014 and 77031. First we will calculate the prime factors of 77014 and 77031.
Prime Factorization of 77014
Prime factors of 77014 are 2, 7, 5501. Prime factorization of 77014 in exponential form is:
77014 = 21 × 71 × 55011
Prime Factorization of 77031
Prime factors of 77031 are 3, 317. Prime factorization of 77031 in exponential form is:
77031 = 35 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 77014 and 77031.
LCM(77014,77031) = 21 × 71 × 55011 × 35 × 3171
LCM(77014,77031) = 5932465434
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