What is the Least Common Multiple of 69607 and 69613?
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 69607 and 69613 is 4845552091.
LCM(69607,69613) = 4845552091
Least Common Multiple of 69607 and 69613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69607 and 69613, than apply into the LCM equation.
GCF(69607,69613) = 1
LCM(69607,69613) = ( 69607 × 69613) / 1
LCM(69607,69613) = 4845552091 / 1
LCM(69607,69613) = 4845552091
Least Common Multiple (LCM) of 69607 and 69613 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69607 and 69613. First we will calculate the prime factors of 69607 and 69613.
Prime Factorization of 69607
Prime factors of 69607 are 47, 1481. Prime factorization of 69607 in exponential form is:
69607 = 471 × 14811
Prime Factorization of 69613
Prime factors of 69613 are 67, 1039. Prime factorization of 69613 in exponential form is:
69613 = 671 × 10391
Now multiplying the highest exponent prime factors to calculate the LCM of 69607 and 69613.
LCM(69607,69613) = 471 × 14811 × 671 × 10391
LCM(69607,69613) = 4845552091
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