What is the Least Common Multiple of 51043 and 51060?
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 51043 and 51060 is 2606255580.
LCM(51043,51060) = 2606255580
Least Common Multiple of 51043 and 51060 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51043 and 51060, than apply into the LCM equation.
GCF(51043,51060) = 1
LCM(51043,51060) = ( 51043 × 51060) / 1
LCM(51043,51060) = 2606255580 / 1
LCM(51043,51060) = 2606255580
Least Common Multiple (LCM) of 51043 and 51060 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51043 and 51060. First we will calculate the prime factors of 51043 and 51060.
Prime Factorization of 51043
Prime factors of 51043 are 51043. Prime factorization of 51043 in exponential form is:
51043 = 510431
Prime Factorization of 51060
Prime factors of 51060 are 2, 3, 5, 23, 37. Prime factorization of 51060 in exponential form is:
51060 = 22 × 31 × 51 × 231 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 51043 and 51060.
LCM(51043,51060) = 510431 × 22 × 31 × 51 × 231 × 371
LCM(51043,51060) = 2606255580
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