What is the Least Common Multiple of 69117 and 69127?
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 69117 and 69127 is 4777850859.
LCM(69117,69127) = 4777850859
Least Common Multiple of 69117 and 69127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69117 and 69127, than apply into the LCM equation.
GCF(69117,69127) = 1
LCM(69117,69127) = ( 69117 × 69127) / 1
LCM(69117,69127) = 4777850859 / 1
LCM(69117,69127) = 4777850859
Least Common Multiple (LCM) of 69117 and 69127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69117 and 69127. First we will calculate the prime factors of 69117 and 69127.
Prime Factorization of 69117
Prime factors of 69117 are 3, 23039. Prime factorization of 69117 in exponential form is:
69117 = 31 × 230391
Prime Factorization of 69127
Prime factors of 69127 are 69127. Prime factorization of 69127 in exponential form is:
69127 = 691271
Now multiplying the highest exponent prime factors to calculate the LCM of 69117 and 69127.
LCM(69117,69127) = 31 × 230391 × 691271
LCM(69117,69127) = 4777850859
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