What is the Least Common Multiple of 77063 and 77067?
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 77063 and 77067 is 5939014221.
LCM(77063,77067) = 5939014221
Least Common Multiple of 77063 and 77067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77063 and 77067, than apply into the LCM equation.
GCF(77063,77067) = 1
LCM(77063,77067) = ( 77063 × 77067) / 1
LCM(77063,77067) = 5939014221 / 1
LCM(77063,77067) = 5939014221
Least Common Multiple (LCM) of 77063 and 77067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77063 and 77067. First we will calculate the prime factors of 77063 and 77067.
Prime Factorization of 77063
Prime factors of 77063 are 7, 101, 109. Prime factorization of 77063 in exponential form is:
77063 = 71 × 1011 × 1091
Prime Factorization of 77067
Prime factors of 77067 are 3, 8563. Prime factorization of 77067 in exponential form is:
77067 = 32 × 85631
Now multiplying the highest exponent prime factors to calculate the LCM of 77063 and 77067.
LCM(77063,77067) = 71 × 1011 × 1091 × 32 × 85631
LCM(77063,77067) = 5939014221
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