What is the Least Common Multiple of 79134 and 79139?
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 79134 and 79139 is 6262585626.
LCM(79134,79139) = 6262585626
Least Common Multiple of 79134 and 79139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79134 and 79139, than apply into the LCM equation.
GCF(79134,79139) = 1
LCM(79134,79139) = ( 79134 × 79139) / 1
LCM(79134,79139) = 6262585626 / 1
LCM(79134,79139) = 6262585626
Least Common Multiple (LCM) of 79134 and 79139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79134 and 79139. First we will calculate the prime factors of 79134 and 79139.
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
Prime Factorization of 79139
Prime factors of 79139 are 79139. Prime factorization of 79139 in exponential form is:
79139 = 791391
Now multiplying the highest exponent prime factors to calculate the LCM of 79134 and 79139.
LCM(79134,79139) = 21 × 31 × 112 × 1091 × 791391
LCM(79134,79139) = 6262585626
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