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What is the Least Common Multiple of 69228 and 69236?

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 69228 and 69236 is 1198267452.

LCM(69228,69236) = 1198267452

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Least Common Multiple of 69228 and 69236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69228 and 69236, than apply into the LCM equation.

GCF(69228,69236) = 4
LCM(69228,69236) = ( 69228 × 69236) / 4
LCM(69228,69236) = 4793069808 / 4
LCM(69228,69236) = 1198267452

Least Common Multiple (LCM) of 69228 and 69236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69228 and 69236. First we will calculate the prime factors of 69228 and 69236.

Prime Factorization of 69228

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

69228 = 22 × 33 × 6411

Prime Factorization of 69236

Prime factors of 69236 are 2, 19, 911. Prime factorization of 69236 in exponential form is:

69236 = 22 × 191 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 69228 and 69236.

LCM(69228,69236) = 22 × 33 × 6411 × 191 × 9111
LCM(69228,69236) = 1198267452