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What is the Least Common Multiple of 69028 and 69046?

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 69028 and 69046 is 2383053644.

LCM(69028,69046) = 2383053644

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Least Common Multiple of 69028 and 69046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69028 and 69046, than apply into the LCM equation.

GCF(69028,69046) = 2
LCM(69028,69046) = ( 69028 × 69046) / 2
LCM(69028,69046) = 4766107288 / 2
LCM(69028,69046) = 2383053644

Least Common Multiple (LCM) of 69028 and 69046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69028 and 69046. First we will calculate the prime factors of 69028 and 69046.

Prime Factorization of 69028

Prime factors of 69028 are 2, 17257. Prime factorization of 69028 in exponential form is:

69028 = 22 × 172571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 69028 and 69046.

LCM(69028,69046) = 22 × 172571 × 191 × 231 × 791
LCM(69028,69046) = 2383053644