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What is the Least Common Multiple of 70366 and 70377?

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 70366 and 70377 is 4952147982.

LCM(70366,70377) = 4952147982

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Least Common Multiple of 70366 and 70377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70366 and 70377, than apply into the LCM equation.

GCF(70366,70377) = 1
LCM(70366,70377) = ( 70366 × 70377) / 1
LCM(70366,70377) = 4952147982 / 1
LCM(70366,70377) = 4952147982

Least Common Multiple (LCM) of 70366 and 70377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70366 and 70377. First we will calculate the prime factors of 70366 and 70377.

Prime Factorization of 70366

Prime factors of 70366 are 2, 151, 233. Prime factorization of 70366 in exponential form is:

70366 = 21 × 1511 × 2331

Prime Factorization of 70377

Prime factors of 70377 are 3, 23459. Prime factorization of 70377 in exponential form is:

70377 = 31 × 234591

Now multiplying the highest exponent prime factors to calculate the LCM of 70366 and 70377.

LCM(70366,70377) = 21 × 1511 × 2331 × 31 × 234591
LCM(70366,70377) = 4952147982