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What is the Least Common Multiple of 70871 and 70886?

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 70871 and 70886 is 5023761706.

LCM(70871,70886) = 5023761706

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Least Common Multiple of 70871 and 70886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70871 and 70886, than apply into the LCM equation.

GCF(70871,70886) = 1
LCM(70871,70886) = ( 70871 × 70886) / 1
LCM(70871,70886) = 5023761706 / 1
LCM(70871,70886) = 5023761706

Least Common Multiple (LCM) of 70871 and 70886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70871 and 70886. First we will calculate the prime factors of 70871 and 70886.

Prime Factorization of 70871

Prime factors of 70871 are 131, 541. Prime factorization of 70871 in exponential form is:

70871 = 1311 × 5411

Prime Factorization of 70886

Prime factors of 70886 are 2, 23, 67. Prime factorization of 70886 in exponential form is:

70886 = 21 × 232 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 70871 and 70886.

LCM(70871,70886) = 1311 × 5411 × 21 × 232 × 671
LCM(70871,70886) = 5023761706