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What is the Least Common Multiple of 70517 and 70527?

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 70517 and 70527 is 4973352459.

LCM(70517,70527) = 4973352459

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Least Common Multiple of 70517 and 70527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70517 and 70527, than apply into the LCM equation.

GCF(70517,70527) = 1
LCM(70517,70527) = ( 70517 × 70527) / 1
LCM(70517,70527) = 4973352459 / 1
LCM(70517,70527) = 4973352459

Least Common Multiple (LCM) of 70517 and 70527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70517 and 70527. First we will calculate the prime factors of 70517 and 70527.

Prime Factorization of 70517

Prime factors of 70517 are 151, 467. Prime factorization of 70517 in exponential form is:

70517 = 1511 × 4671

Prime Factorization of 70527

Prime factors of 70527 are 3, 23509. Prime factorization of 70527 in exponential form is:

70527 = 31 × 235091

Now multiplying the highest exponent prime factors to calculate the LCM of 70517 and 70527.

LCM(70517,70527) = 1511 × 4671 × 31 × 235091
LCM(70517,70527) = 4973352459