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What is the Least Common Multiple of 70887 and 70907?

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 70887 and 70907 is 5026384509.

LCM(70887,70907) = 5026384509

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Least Common Multiple of 70887 and 70907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70887 and 70907, than apply into the LCM equation.

GCF(70887,70907) = 1
LCM(70887,70907) = ( 70887 × 70907) / 1
LCM(70887,70907) = 5026384509 / 1
LCM(70887,70907) = 5026384509

Least Common Multiple (LCM) of 70887 and 70907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70887 and 70907. First we will calculate the prime factors of 70887 and 70907.

Prime Factorization of 70887

Prime factors of 70887 are 3, 23629. Prime factorization of 70887 in exponential form is:

70887 = 31 × 236291

Prime Factorization of 70907

Prime factors of 70907 are 17, 43, 97. Prime factorization of 70907 in exponential form is:

70907 = 171 × 431 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 70887 and 70907.

LCM(70887,70907) = 31 × 236291 × 171 × 431 × 971
LCM(70887,70907) = 5026384509