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What is the Least Common Multiple of 69073 and 69077?

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 69077 is 4771355621.

LCM(69073,69077) = 4771355621

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Least Common Multiple of 69073 and 69077 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 69077, than apply into the LCM equation.

GCF(69073,69077) = 1
LCM(69073,69077) = ( 69073 × 69077) / 1
LCM(69073,69077) = 4771355621 / 1
LCM(69073,69077) = 4771355621

Least Common Multiple (LCM) of 69073 and 69077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69073 and 69077. First we will calculate the prime factors of 69073 and 69077.

Prime Factorization of 69073

Prime factors of 69073 are 69073. Prime factorization of 69073 in exponential form is:

69073 = 690731

Prime Factorization of 69077

Prime factors of 69077 are 67, 1031. Prime factorization of 69077 in exponential form is:

69077 = 671 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 69073 and 69077.

LCM(69073,69077) = 690731 × 671 × 10311
LCM(69073,69077) = 4771355621