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What is the Least Common Multiple of 68902 and 68909?

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 68902 and 68909 is 4747967918.

LCM(68902,68909) = 4747967918

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Least Common Multiple of 68902 and 68909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68902 and 68909, than apply into the LCM equation.

GCF(68902,68909) = 1
LCM(68902,68909) = ( 68902 × 68909) / 1
LCM(68902,68909) = 4747967918 / 1
LCM(68902,68909) = 4747967918

Least Common Multiple (LCM) of 68902 and 68909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68902 and 68909. First we will calculate the prime factors of 68902 and 68909.

Prime Factorization of 68902

Prime factors of 68902 are 2, 47, 733. Prime factorization of 68902 in exponential form is:

68902 = 21 × 471 × 7331

Prime Factorization of 68909

Prime factors of 68909 are 68909. Prime factorization of 68909 in exponential form is:

68909 = 689091

Now multiplying the highest exponent prime factors to calculate the LCM of 68902 and 68909.

LCM(68902,68909) = 21 × 471 × 7331 × 689091
LCM(68902,68909) = 4747967918