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What is the Least Common Multiple of 69910 and 69929?

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 69910 and 69929 is 4888736390.

LCM(69910,69929) = 4888736390

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Least Common Multiple of 69910 and 69929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69910 and 69929, than apply into the LCM equation.

GCF(69910,69929) = 1
LCM(69910,69929) = ( 69910 × 69929) / 1
LCM(69910,69929) = 4888736390 / 1
LCM(69910,69929) = 4888736390

Least Common Multiple (LCM) of 69910 and 69929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69910 and 69929. First we will calculate the prime factors of 69910 and 69929.

Prime Factorization of 69910

Prime factors of 69910 are 2, 5, 6991. Prime factorization of 69910 in exponential form is:

69910 = 21 × 51 × 69911

Prime Factorization of 69929

Prime factors of 69929 are 69929. Prime factorization of 69929 in exponential form is:

69929 = 699291

Now multiplying the highest exponent prime factors to calculate the LCM of 69910 and 69929.

LCM(69910,69929) = 21 × 51 × 69911 × 699291
LCM(69910,69929) = 4888736390