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What is the Least Common Multiple of 69203 and 69216?

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 69203 and 69216 is 4789954848.

LCM(69203,69216) = 4789954848

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Least Common Multiple of 69203 and 69216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69203 and 69216, than apply into the LCM equation.

GCF(69203,69216) = 1
LCM(69203,69216) = ( 69203 × 69216) / 1
LCM(69203,69216) = 4789954848 / 1
LCM(69203,69216) = 4789954848

Least Common Multiple (LCM) of 69203 and 69216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69203 and 69216. First we will calculate the prime factors of 69203 and 69216.

Prime Factorization of 69203

Prime factors of 69203 are 69203. Prime factorization of 69203 in exponential form is:

69203 = 692031

Prime Factorization of 69216

Prime factors of 69216 are 2, 3, 7, 103. Prime factorization of 69216 in exponential form is:

69216 = 25 × 31 × 71 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 69203 and 69216.

LCM(69203,69216) = 692031 × 25 × 31 × 71 × 1031
LCM(69203,69216) = 4789954848