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What is the Least Common Multiple of 70882 and 70899?

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 70882 and 70899 is 5025462918.

LCM(70882,70899) = 5025462918

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Least Common Multiple of 70882 and 70899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70882 and 70899, than apply into the LCM equation.

GCF(70882,70899) = 1
LCM(70882,70899) = ( 70882 × 70899) / 1
LCM(70882,70899) = 5025462918 / 1
LCM(70882,70899) = 5025462918

Least Common Multiple (LCM) of 70882 and 70899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70882 and 70899. First we will calculate the prime factors of 70882 and 70899.

Prime Factorization of 70882

Prime factors of 70882 are 2, 7, 61, 83. Prime factorization of 70882 in exponential form is:

70882 = 21 × 71 × 611 × 831

Prime Factorization of 70899

Prime factors of 70899 are 3, 23633. Prime factorization of 70899 in exponential form is:

70899 = 31 × 236331

Now multiplying the highest exponent prime factors to calculate the LCM of 70882 and 70899.

LCM(70882,70899) = 21 × 71 × 611 × 831 × 31 × 236331
LCM(70882,70899) = 5025462918