What is the Least Common Multiple of 62127 and 62139?
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 62139 is 1286836551.
LCM(62127,62139) = 1286836551
Least Common Multiple of 62127 and 62139 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 62139, than apply into the LCM equation.
GCF(62127,62139) = 3
LCM(62127,62139) = ( 62127 × 62139) / 3
LCM(62127,62139) = 3860509653 / 3
LCM(62127,62139) = 1286836551
Least Common Multiple (LCM) of 62127 and 62139 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62127 and 62139. First we will calculate the prime factors of 62127 and 62139.
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 62139
Prime factors of 62139 are 3, 7, 11, 269. Prime factorization of 62139 in exponential form is:
62139 = 31 × 71 × 111 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 62127 and 62139.
LCM(62127,62139) = 34 × 131 × 591 × 71 × 111 × 2691
LCM(62127,62139) = 1286836551
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