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What is the Least Common Multiple of 70898 and 70911?

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 70898 and 70911 is 5027448078.

LCM(70898,70911) = 5027448078

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Least Common Multiple of 70898 and 70911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70898 and 70911, than apply into the LCM equation.

GCF(70898,70911) = 1
LCM(70898,70911) = ( 70898 × 70911) / 1
LCM(70898,70911) = 5027448078 / 1
LCM(70898,70911) = 5027448078

Least Common Multiple (LCM) of 70898 and 70911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70898 and 70911. First we will calculate the prime factors of 70898 and 70911.

Prime Factorization of 70898

Prime factors of 70898 are 2, 35449. Prime factorization of 70898 in exponential form is:

70898 = 21 × 354491

Prime Factorization of 70911

Prime factors of 70911 are 3, 7879. Prime factorization of 70911 in exponential form is:

70911 = 32 × 78791

Now multiplying the highest exponent prime factors to calculate the LCM of 70898 and 70911.

LCM(70898,70911) = 21 × 354491 × 32 × 78791
LCM(70898,70911) = 5027448078