What is the Least Common Multiple of 62127 and 62138?
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 62138 is 3860447526.
LCM(62127,62138) = 3860447526
Least Common Multiple of 62127 and 62138 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 62138, than apply into the LCM equation.
GCF(62127,62138) = 1
LCM(62127,62138) = ( 62127 × 62138) / 1
LCM(62127,62138) = 3860447526 / 1
LCM(62127,62138) = 3860447526
Least Common Multiple (LCM) of 62127 and 62138 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62127 and 62138. First we will calculate the prime factors of 62127 and 62138.
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 62138
Prime factors of 62138 are 2, 31069. Prime factorization of 62138 in exponential form is:
62138 = 21 × 310691
Now multiplying the highest exponent prime factors to calculate the LCM of 62127 and 62138.
LCM(62127,62138) = 34 × 131 × 591 × 21 × 310691
LCM(62127,62138) = 3860447526
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