What is the Least Common Multiple of 51131 and 51142?
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 51131 and 51142 is 2614941602.
LCM(51131,51142) = 2614941602
Least Common Multiple of 51131 and 51142 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51131 and 51142, than apply into the LCM equation.
GCF(51131,51142) = 1
LCM(51131,51142) = ( 51131 × 51142) / 1
LCM(51131,51142) = 2614941602 / 1
LCM(51131,51142) = 2614941602
Least Common Multiple (LCM) of 51131 and 51142 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51131 and 51142. First we will calculate the prime factors of 51131 and 51142.
Prime Factorization of 51131
Prime factors of 51131 are 51131. Prime factorization of 51131 in exponential form is:
51131 = 511311
Prime Factorization of 51142
Prime factors of 51142 are 2, 7, 13, 281. Prime factorization of 51142 in exponential form is:
51142 = 21 × 71 × 131 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 51131 and 51142.
LCM(51131,51142) = 511311 × 21 × 71 × 131 × 2811
LCM(51131,51142) = 2614941602
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