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What is the Least Common Multiple of 68966 and 68983?

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 68966 and 68983 is 4757481578.

LCM(68966,68983) = 4757481578

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Least Common Multiple of 68966 and 68983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68966 and 68983, than apply into the LCM equation.

GCF(68966,68983) = 1
LCM(68966,68983) = ( 68966 × 68983) / 1
LCM(68966,68983) = 4757481578 / 1
LCM(68966,68983) = 4757481578

Least Common Multiple (LCM) of 68966 and 68983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68966 and 68983. First we will calculate the prime factors of 68966 and 68983.

Prime Factorization of 68966

Prime factors of 68966 are 2, 34483. Prime factorization of 68966 in exponential form is:

68966 = 21 × 344831

Prime Factorization of 68983

Prime factors of 68983 are 101, 683. Prime factorization of 68983 in exponential form is:

68983 = 1011 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 68966 and 68983.

LCM(68966,68983) = 21 × 344831 × 1011 × 6831
LCM(68966,68983) = 4757481578