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What is the Least Common Multiple of 69046 and 69065?

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 69065 is 250982210.

LCM(69046,69065) = 250982210

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Least Common Multiple of 69046 and 69065 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 69065, than apply into the LCM equation.

GCF(69046,69065) = 19
LCM(69046,69065) = ( 69046 × 69065) / 19
LCM(69046,69065) = 4768661990 / 19
LCM(69046,69065) = 250982210

Least Common Multiple (LCM) of 69046 and 69065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69046 and 69065. First we will calculate the prime factors of 69046 and 69065.

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 69065

Prime factors of 69065 are 5, 19, 727. Prime factorization of 69065 in exponential form is:

69065 = 51 × 191 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 69046 and 69065.

LCM(69046,69065) = 21 × 191 × 231 × 791 × 51 × 7271
LCM(69046,69065) = 250982210