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What is the Least Common Multiple of 69044 and 69050?

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 69044 and 69050 is 2383744100.

LCM(69044,69050) = 2383744100

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Least Common Multiple of 69044 and 69050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69044 and 69050, than apply into the LCM equation.

GCF(69044,69050) = 2
LCM(69044,69050) = ( 69044 × 69050) / 2
LCM(69044,69050) = 4767488200 / 2
LCM(69044,69050) = 2383744100

Least Common Multiple (LCM) of 69044 and 69050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69044 and 69050. First we will calculate the prime factors of 69044 and 69050.

Prime Factorization of 69044

Prime factors of 69044 are 2, 41, 421. Prime factorization of 69044 in exponential form is:

69044 = 22 × 411 × 4211

Prime Factorization of 69050

Prime factors of 69050 are 2, 5, 1381. Prime factorization of 69050 in exponential form is:

69050 = 21 × 52 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 69044 and 69050.

LCM(69044,69050) = 22 × 411 × 4211 × 52 × 13811
LCM(69044,69050) = 2383744100