What is the Least Common Multiple of 79163 and 79178?
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 79163 and 79178 is 6267968014.
LCM(79163,79178) = 6267968014
Least Common Multiple of 79163 and 79178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79163 and 79178, than apply into the LCM equation.
GCF(79163,79178) = 1
LCM(79163,79178) = ( 79163 × 79178) / 1
LCM(79163,79178) = 6267968014 / 1
LCM(79163,79178) = 6267968014
Least Common Multiple (LCM) of 79163 and 79178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79163 and 79178. First we will calculate the prime factors of 79163 and 79178.
Prime Factorization of 79163
Prime factors of 79163 are 7, 43, 263. Prime factorization of 79163 in exponential form is:
79163 = 71 × 431 × 2631
Prime Factorization of 79178
Prime factors of 79178 are 2, 11, 59, 61. Prime factorization of 79178 in exponential form is:
79178 = 21 × 111 × 591 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 79163 and 79178.
LCM(79163,79178) = 71 × 431 × 2631 × 21 × 111 × 591 × 611
LCM(79163,79178) = 6267968014
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