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What is the Least Common Multiple of 70831 and 70837?

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 70831 and 70837 is 5017455547.

LCM(70831,70837) = 5017455547

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Least Common Multiple of 70831 and 70837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70831 and 70837, than apply into the LCM equation.

GCF(70831,70837) = 1
LCM(70831,70837) = ( 70831 × 70837) / 1
LCM(70831,70837) = 5017455547 / 1
LCM(70831,70837) = 5017455547

Least Common Multiple (LCM) of 70831 and 70837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70831 and 70837. First we will calculate the prime factors of 70831 and 70837.

Prime Factorization of 70831

Prime factors of 70831 are 193, 367. Prime factorization of 70831 in exponential form is:

70831 = 1931 × 3671

Prime Factorization of 70837

Prime factors of 70837 are 13, 5449. Prime factorization of 70837 in exponential form is:

70837 = 131 × 54491

Now multiplying the highest exponent prime factors to calculate the LCM of 70831 and 70837.

LCM(70831,70837) = 1931 × 3671 × 131 × 54491
LCM(70831,70837) = 5017455547