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What is the Least Common Multiple of 69276 and 69286?

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 69276 and 69286 is 2399928468.

LCM(69276,69286) = 2399928468

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Least Common Multiple of 69276 and 69286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69276 and 69286, than apply into the LCM equation.

GCF(69276,69286) = 2
LCM(69276,69286) = ( 69276 × 69286) / 2
LCM(69276,69286) = 4799856936 / 2
LCM(69276,69286) = 2399928468

Least Common Multiple (LCM) of 69276 and 69286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69276 and 69286. First we will calculate the prime factors of 69276 and 69286.

Prime Factorization of 69276

Prime factors of 69276 are 2, 3, 23, 251. Prime factorization of 69276 in exponential form is:

69276 = 22 × 31 × 231 × 2511

Prime Factorization of 69286

Prime factors of 69286 are 2, 7, 101. Prime factorization of 69286 in exponential form is:

69286 = 21 × 73 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 69276 and 69286.

LCM(69276,69286) = 22 × 31 × 231 × 2511 × 73 × 1011
LCM(69276,69286) = 2399928468