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What is the Least Common Multiple of 70532 and 70547?

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 70532 and 70547 is 4975821004.

LCM(70532,70547) = 4975821004

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Least Common Multiple of 70532 and 70547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70532 and 70547, than apply into the LCM equation.

GCF(70532,70547) = 1
LCM(70532,70547) = ( 70532 × 70547) / 1
LCM(70532,70547) = 4975821004 / 1
LCM(70532,70547) = 4975821004

Least Common Multiple (LCM) of 70532 and 70547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70532 and 70547. First we will calculate the prime factors of 70532 and 70547.

Prime Factorization of 70532

Prime factors of 70532 are 2, 7, 11, 229. Prime factorization of 70532 in exponential form is:

70532 = 22 × 71 × 111 × 2291

Prime Factorization of 70547

Prime factors of 70547 are 19, 47, 79. Prime factorization of 70547 in exponential form is:

70547 = 191 × 471 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 70532 and 70547.

LCM(70532,70547) = 22 × 71 × 111 × 2291 × 191 × 471 × 791
LCM(70532,70547) = 4975821004