What is the Least Common Multiple of 59127 and 59134?
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 59127 and 59134 is 3496416018.
LCM(59127,59134) = 3496416018
Least Common Multiple of 59127 and 59134 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59127 and 59134, than apply into the LCM equation.
GCF(59127,59134) = 1
LCM(59127,59134) = ( 59127 × 59134) / 1
LCM(59127,59134) = 3496416018 / 1
LCM(59127,59134) = 3496416018
Least Common Multiple (LCM) of 59127 and 59134 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59127 and 59134. First we will calculate the prime factors of 59127 and 59134.
Prime Factorization of 59127
Prime factors of 59127 are 3, 19709. Prime factorization of 59127 in exponential form is:
59127 = 31 × 197091
Prime Factorization of 59134
Prime factors of 59134 are 2, 29567. Prime factorization of 59134 in exponential form is:
59134 = 21 × 295671
Now multiplying the highest exponent prime factors to calculate the LCM of 59127 and 59134.
LCM(59127,59134) = 31 × 197091 × 21 × 295671
LCM(59127,59134) = 3496416018
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