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What is the Least Common Multiple of 69213 and 69228?

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 69213 and 69228 is 1597159188.

LCM(69213,69228) = 1597159188

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Least Common Multiple of 69213 and 69228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69213 and 69228, than apply into the LCM equation.

GCF(69213,69228) = 3
LCM(69213,69228) = ( 69213 × 69228) / 3
LCM(69213,69228) = 4791477564 / 3
LCM(69213,69228) = 1597159188

Least Common Multiple (LCM) of 69213 and 69228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69213 and 69228. First we will calculate the prime factors of 69213 and 69228.

Prime Factorization of 69213

Prime factors of 69213 are 3, 23071. Prime factorization of 69213 in exponential form is:

69213 = 31 × 230711

Prime Factorization of 69228

Prime factors of 69228 are 2, 3, 641. Prime factorization of 69228 in exponential form is:

69228 = 22 × 33 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 69213 and 69228.

LCM(69213,69228) = 33 × 230711 × 22 × 6411
LCM(69213,69228) = 1597159188