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What is the Least Common Multiple of 69028 and 69034?

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 69034 is 2382639476.

LCM(69028,69034) = 2382639476

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Least Common Multiple of 69028 and 69034 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 69034, than apply into the LCM equation.

GCF(69028,69034) = 2
LCM(69028,69034) = ( 69028 × 69034) / 2
LCM(69028,69034) = 4765278952 / 2
LCM(69028,69034) = 2382639476

Least Common Multiple (LCM) of 69028 and 69034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69028 and 69034. First we will calculate the prime factors of 69028 and 69034.

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 69034

Prime factors of 69034 are 2, 7, 4931. Prime factorization of 69034 in exponential form is:

69034 = 21 × 71 × 49311

Now multiplying the highest exponent prime factors to calculate the LCM of 69028 and 69034.

LCM(69028,69034) = 22 × 172571 × 71 × 49311
LCM(69028,69034) = 2382639476