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What is the Least Common Multiple of 69306 and 69317?

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 69306 and 69317 is 4804084002.

LCM(69306,69317) = 4804084002

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Least Common Multiple of 69306 and 69317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69306 and 69317, than apply into the LCM equation.

GCF(69306,69317) = 1
LCM(69306,69317) = ( 69306 × 69317) / 1
LCM(69306,69317) = 4804084002 / 1
LCM(69306,69317) = 4804084002

Least Common Multiple (LCM) of 69306 and 69317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69306 and 69317. First we will calculate the prime factors of 69306 and 69317.

Prime Factorization of 69306

Prime factors of 69306 are 2, 3, 11551. Prime factorization of 69306 in exponential form is:

69306 = 21 × 31 × 115511

Prime Factorization of 69317

Prime factors of 69317 are 69317. Prime factorization of 69317 in exponential form is:

69317 = 693171

Now multiplying the highest exponent prime factors to calculate the LCM of 69306 and 69317.

LCM(69306,69317) = 21 × 31 × 115511 × 693171
LCM(69306,69317) = 4804084002