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What is the Least Common Multiple of 70871 and 70888?

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 70888 is 5023903448.

LCM(70871,70888) = 5023903448

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Least Common Multiple of 70871 and 70888 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 70888, than apply into the LCM equation.

GCF(70871,70888) = 1
LCM(70871,70888) = ( 70871 × 70888) / 1
LCM(70871,70888) = 5023903448 / 1
LCM(70871,70888) = 5023903448

Least Common Multiple (LCM) of 70871 and 70888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70871 and 70888. First we will calculate the prime factors of 70871 and 70888.

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 70888

Prime factors of 70888 are 2, 8861. Prime factorization of 70888 in exponential form is:

70888 = 23 × 88611

Now multiplying the highest exponent prime factors to calculate the LCM of 70871 and 70888.

LCM(70871,70888) = 1311 × 5411 × 23 × 88611
LCM(70871,70888) = 5023903448