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What is the Least Common Multiple of 70483 and 70491?

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 70483 and 70491 is 4968417153.

LCM(70483,70491) = 4968417153

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Least Common Multiple of 70483 and 70491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70483 and 70491, than apply into the LCM equation.

GCF(70483,70491) = 1
LCM(70483,70491) = ( 70483 × 70491) / 1
LCM(70483,70491) = 4968417153 / 1
LCM(70483,70491) = 4968417153

Least Common Multiple (LCM) of 70483 and 70491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70483 and 70491. First we will calculate the prime factors of 70483 and 70491.

Prime Factorization of 70483

Prime factors of 70483 are 7, 10069. Prime factorization of 70483 in exponential form is:

70483 = 71 × 100691

Prime Factorization of 70491

Prime factors of 70491 are 3, 23497. Prime factorization of 70491 in exponential form is:

70491 = 31 × 234971

Now multiplying the highest exponent prime factors to calculate the LCM of 70483 and 70491.

LCM(70483,70491) = 71 × 100691 × 31 × 234971
LCM(70483,70491) = 4968417153