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What is the Least Common Multiple of 69046 and 69064?

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 69046 and 69064 is 2384296472.

LCM(69046,69064) = 2384296472

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Least Common Multiple of 69046 and 69064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69046 and 69064, than apply into the LCM equation.

GCF(69046,69064) = 2
LCM(69046,69064) = ( 69046 × 69064) / 2
LCM(69046,69064) = 4768592944 / 2
LCM(69046,69064) = 2384296472

Least Common Multiple (LCM) of 69046 and 69064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69046 and 69064. First we will calculate the prime factors of 69046 and 69064.

Prime Factorization of 69046

Prime factors of 69046 are 2, 19, 23, 79. Prime factorization of 69046 in exponential form is:

69046 = 21 × 191 × 231 × 791

Prime Factorization of 69064

Prime factors of 69064 are 2, 89, 97. Prime factorization of 69064 in exponential form is:

69064 = 23 × 891 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 69046 and 69064.

LCM(69046,69064) = 23 × 191 × 231 × 791 × 891 × 971
LCM(69046,69064) = 2384296472