What is the Least Common Multiple of 62127 and 62133?
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 62133 is 1286712297.
LCM(62127,62133) = 1286712297
Least Common Multiple of 62127 and 62133 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 62133, than apply into the LCM equation.
GCF(62127,62133) = 3
LCM(62127,62133) = ( 62127 × 62133) / 3
LCM(62127,62133) = 3860136891 / 3
LCM(62127,62133) = 1286712297
Least Common Multiple (LCM) of 62127 and 62133 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62127 and 62133. First we will calculate the prime factors of 62127 and 62133.
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 62133
Prime factors of 62133 are 3, 139, 149. Prime factorization of 62133 in exponential form is:
62133 = 31 × 1391 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 62127 and 62133.
LCM(62127,62133) = 34 × 131 × 591 × 1391 × 1491
LCM(62127,62133) = 1286712297
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