What is the Least Common Multiple of 62108 and 62127?
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 62108 and 62127 is 3858583716.
LCM(62108,62127) = 3858583716
Least Common Multiple of 62108 and 62127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62108 and 62127, than apply into the LCM equation.
GCF(62108,62127) = 1
LCM(62108,62127) = ( 62108 × 62127) / 1
LCM(62108,62127) = 3858583716 / 1
LCM(62108,62127) = 3858583716
Least Common Multiple (LCM) of 62108 and 62127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62108 and 62127. First we will calculate the prime factors of 62108 and 62127.
Prime Factorization of 62108
Prime factors of 62108 are 2, 15527. Prime factorization of 62108 in exponential form is:
62108 = 22 × 155271
Prime Factorization of 62127
Prime factors of 62127 are 3, 13, 59. Prime factorization of 62127 in exponential form is:
62127 = 34 × 131 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 62108 and 62127.
LCM(62108,62127) = 22 × 155271 × 34 × 131 × 591
LCM(62108,62127) = 3858583716
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