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What is the Least Common Multiple of 69307 and 69314?

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 69307 and 69314 is 686277914.

LCM(69307,69314) = 686277914

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Least Common Multiple of 69307 and 69314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69307 and 69314, than apply into the LCM equation.

GCF(69307,69314) = 7
LCM(69307,69314) = ( 69307 × 69314) / 7
LCM(69307,69314) = 4803945398 / 7
LCM(69307,69314) = 686277914

Least Common Multiple (LCM) of 69307 and 69314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69307 and 69314. First we will calculate the prime factors of 69307 and 69314.

Prime Factorization of 69307

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

69307 = 71 × 99011

Prime Factorization of 69314

Prime factors of 69314 are 2, 7, 4951. Prime factorization of 69314 in exponential form is:

69314 = 21 × 71 × 49511

Now multiplying the highest exponent prime factors to calculate the LCM of 69307 and 69314.

LCM(69307,69314) = 71 × 99011 × 21 × 49511
LCM(69307,69314) = 686277914