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What is the Least Common Multiple of 69358 and 69372?

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 69358 and 69372 is 2405751588.

LCM(69358,69372) = 2405751588

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Least Common Multiple of 69358 and 69372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69358 and 69372, than apply into the LCM equation.

GCF(69358,69372) = 2
LCM(69358,69372) = ( 69358 × 69372) / 2
LCM(69358,69372) = 4811503176 / 2
LCM(69358,69372) = 2405751588

Least Common Multiple (LCM) of 69358 and 69372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69358 and 69372. First we will calculate the prime factors of 69358 and 69372.

Prime Factorization of 69358

Prime factors of 69358 are 2, 34679. Prime factorization of 69358 in exponential form is:

69358 = 21 × 346791

Prime Factorization of 69372

Prime factors of 69372 are 2, 3, 41, 47. Prime factorization of 69372 in exponential form is:

69372 = 22 × 32 × 411 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 69358 and 69372.

LCM(69358,69372) = 22 × 346791 × 32 × 411 × 471
LCM(69358,69372) = 2405751588