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What is the Least Common Multiple of 70681 and 70687?

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 70681 and 70687 is 4996227847.

LCM(70681,70687) = 4996227847

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Least Common Multiple of 70681 and 70687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70681 and 70687, than apply into the LCM equation.

GCF(70681,70687) = 1
LCM(70681,70687) = ( 70681 × 70687) / 1
LCM(70681,70687) = 4996227847 / 1
LCM(70681,70687) = 4996227847

Least Common Multiple (LCM) of 70681 and 70687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70681 and 70687. First we will calculate the prime factors of 70681 and 70687.

Prime Factorization of 70681

Prime factors of 70681 are 13, 5437. Prime factorization of 70681 in exponential form is:

70681 = 131 × 54371

Prime Factorization of 70687

Prime factors of 70687 are 70687. Prime factorization of 70687 in exponential form is:

70687 = 706871

Now multiplying the highest exponent prime factors to calculate the LCM of 70681 and 70687.

LCM(70681,70687) = 131 × 54371 × 706871
LCM(70681,70687) = 4996227847