What is the Least Common Multiple of 69073 and 69093?
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 69073 and 69093 is 4772460789.
LCM(69073,69093) = 4772460789
Least Common Multiple of 69073 and 69093 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69073 and 69093, than apply into the LCM equation.
GCF(69073,69093) = 1
LCM(69073,69093) = ( 69073 × 69093) / 1
LCM(69073,69093) = 4772460789 / 1
LCM(69073,69093) = 4772460789
Least Common Multiple (LCM) of 69073 and 69093 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69073 and 69093. First we will calculate the prime factors of 69073 and 69093.
Prime Factorization of 69073
Prime factors of 69073 are 69073. Prime factorization of 69073 in exponential form is:
69073 = 690731
Prime Factorization of 69093
Prime factors of 69093 are 3, 853. Prime factorization of 69093 in exponential form is:
69093 = 34 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 69073 and 69093.
LCM(69073,69093) = 690731 × 34 × 8531
LCM(69073,69093) = 4772460789
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