What is the Least Common Multiple of 62127 and 62146?
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 62127 and 62146 is 3860944542.
LCM(62127,62146) = 3860944542
Least Common Multiple of 62127 and 62146 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62127 and 62146, than apply into the LCM equation.
GCF(62127,62146) = 1
LCM(62127,62146) = ( 62127 × 62146) / 1
LCM(62127,62146) = 3860944542 / 1
LCM(62127,62146) = 3860944542
Least Common Multiple (LCM) of 62127 and 62146 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62127 and 62146. First we will calculate the prime factors of 62127 and 62146.
Prime Factorization of 62127
Prime factors of 62127 are 3, 13, 59. Prime factorization of 62127 in exponential form is:
62127 = 34 × 131 × 591
Prime Factorization of 62146
Prime factors of 62146 are 2, 7, 23, 193. Prime factorization of 62146 in exponential form is:
62146 = 21 × 71 × 231 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 62127 and 62146.
LCM(62127,62146) = 34 × 131 × 591 × 21 × 71 × 231 × 1931
LCM(62127,62146) = 3860944542
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