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What is the Least Common Multiple of 70884 and 70897?

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 70884 and 70897 is 5025462948.

LCM(70884,70897) = 5025462948

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Least Common Multiple of 70884 and 70897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70884 and 70897, than apply into the LCM equation.

GCF(70884,70897) = 1
LCM(70884,70897) = ( 70884 × 70897) / 1
LCM(70884,70897) = 5025462948 / 1
LCM(70884,70897) = 5025462948

Least Common Multiple (LCM) of 70884 and 70897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70884 and 70897. First we will calculate the prime factors of 70884 and 70897.

Prime Factorization of 70884

Prime factors of 70884 are 2, 3, 11, 179. Prime factorization of 70884 in exponential form is:

70884 = 22 × 32 × 111 × 1791

Prime Factorization of 70897

Prime factors of 70897 are 31, 2287. Prime factorization of 70897 in exponential form is:

70897 = 311 × 22871

Now multiplying the highest exponent prime factors to calculate the LCM of 70884 and 70897.

LCM(70884,70897) = 22 × 32 × 111 × 1791 × 311 × 22871
LCM(70884,70897) = 5025462948