What is the Least Common Multiple of 79126 and 79134?
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 79126 and 79134 is 3130778442.
LCM(79126,79134) = 3130778442
Least Common Multiple of 79126 and 79134 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79126 and 79134, than apply into the LCM equation.
GCF(79126,79134) = 2
LCM(79126,79134) = ( 79126 × 79134) / 2
LCM(79126,79134) = 6261556884 / 2
LCM(79126,79134) = 3130778442
Least Common Multiple (LCM) of 79126 and 79134 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79126 and 79134. First we will calculate the prime factors of 79126 and 79134.
Prime Factorization of 79126
Prime factors of 79126 are 2, 39563. Prime factorization of 79126 in exponential form is:
79126 = 21 × 395631
Prime Factorization of 79134
Prime factors of 79134 are 2, 3, 11, 109. Prime factorization of 79134 in exponential form is:
79134 = 21 × 31 × 112 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 79126 and 79134.
LCM(79126,79134) = 21 × 395631 × 31 × 112 × 1091
LCM(79126,79134) = 3130778442
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