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What is the Least Common Multiple of 69303 and 69307?

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 69303 and 69307 is 4803183021.

LCM(69303,69307) = 4803183021

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Least Common Multiple of 69303 and 69307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69303 and 69307, than apply into the LCM equation.

GCF(69303,69307) = 1
LCM(69303,69307) = ( 69303 × 69307) / 1
LCM(69303,69307) = 4803183021 / 1
LCM(69303,69307) = 4803183021

Least Common Multiple (LCM) of 69303 and 69307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69303 and 69307. First we will calculate the prime factors of 69303 and 69307.

Prime Factorization of 69303

Prime factors of 69303 are 3, 13, 1777. Prime factorization of 69303 in exponential form is:

69303 = 31 × 131 × 17771

Prime Factorization of 69307

Prime factors of 69307 are 7, 9901. Prime factorization of 69307 in exponential form is:

69307 = 71 × 99011

Now multiplying the highest exponent prime factors to calculate the LCM of 69303 and 69307.

LCM(69303,69307) = 31 × 131 × 17771 × 71 × 99011
LCM(69303,69307) = 4803183021