What is the Least Common Multiple of 69035 and 69053?
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 69035 and 69053 is 4767073855.
LCM(69035,69053) = 4767073855
Least Common Multiple of 69035 and 69053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69035 and 69053, than apply into the LCM equation.
GCF(69035,69053) = 1
LCM(69035,69053) = ( 69035 × 69053) / 1
LCM(69035,69053) = 4767073855 / 1
LCM(69035,69053) = 4767073855
Least Common Multiple (LCM) of 69035 and 69053 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69035 and 69053. First we will calculate the prime factors of 69035 and 69053.
Prime Factorization of 69035
Prime factors of 69035 are 5, 13807. Prime factorization of 69035 in exponential form is:
69035 = 51 × 138071
Prime Factorization of 69053
Prime factors of 69053 are 199, 347. Prime factorization of 69053 in exponential form is:
69053 = 1991 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 69035 and 69053.
LCM(69035,69053) = 51 × 138071 × 1991 × 3471
LCM(69035,69053) = 4767073855
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