What is the Least Common Multiple of 57127 and 57139?
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 57127 and 57139 is 3264179653.
LCM(57127,57139) = 3264179653
Least Common Multiple of 57127 and 57139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57127 and 57139, than apply into the LCM equation.
GCF(57127,57139) = 1
LCM(57127,57139) = ( 57127 × 57139) / 1
LCM(57127,57139) = 3264179653 / 1
LCM(57127,57139) = 3264179653
Least Common Multiple (LCM) of 57127 and 57139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57127 and 57139. First we will calculate the prime factors of 57127 and 57139.
Prime Factorization of 57127
Prime factors of 57127 are 7, 8161. Prime factorization of 57127 in exponential form is:
57127 = 71 × 81611
Prime Factorization of 57139
Prime factors of 57139 are 57139. Prime factorization of 57139 in exponential form is:
57139 = 571391
Now multiplying the highest exponent prime factors to calculate the LCM of 57127 and 57139.
LCM(57127,57139) = 71 × 81611 × 571391
LCM(57127,57139) = 3264179653
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