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What is the Least Common Multiple of 69779 and 69797?

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 69779 and 69797 is 4870364863.

LCM(69779,69797) = 4870364863

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Least Common Multiple of 69779 and 69797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69779 and 69797, than apply into the LCM equation.

GCF(69779,69797) = 1
LCM(69779,69797) = ( 69779 × 69797) / 1
LCM(69779,69797) = 4870364863 / 1
LCM(69779,69797) = 4870364863

Least Common Multiple (LCM) of 69779 and 69797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69779 and 69797. First we will calculate the prime factors of 69779 and 69797.

Prime Factorization of 69779

Prime factors of 69779 are 69779. Prime factorization of 69779 in exponential form is:

69779 = 697791

Prime Factorization of 69797

Prime factors of 69797 are 7, 13, 59. Prime factorization of 69797 in exponential form is:

69797 = 71 × 132 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 69779 and 69797.

LCM(69779,69797) = 697791 × 71 × 132 × 591
LCM(69779,69797) = 4870364863