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What is the Least Common Multiple of 70637 and 70655?

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 70637 and 70655 is 4990857235.

LCM(70637,70655) = 4990857235

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Least Common Multiple of 70637 and 70655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70637 and 70655, than apply into the LCM equation.

GCF(70637,70655) = 1
LCM(70637,70655) = ( 70637 × 70655) / 1
LCM(70637,70655) = 4990857235 / 1
LCM(70637,70655) = 4990857235

Least Common Multiple (LCM) of 70637 and 70655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70637 and 70655. First we will calculate the prime factors of 70637 and 70655.

Prime Factorization of 70637

Prime factors of 70637 are 7, 10091. Prime factorization of 70637 in exponential form is:

70637 = 71 × 100911

Prime Factorization of 70655

Prime factors of 70655 are 5, 13, 1087. Prime factorization of 70655 in exponential form is:

70655 = 51 × 131 × 10871

Now multiplying the highest exponent prime factors to calculate the LCM of 70637 and 70655.

LCM(70637,70655) = 71 × 100911 × 51 × 131 × 10871
LCM(70637,70655) = 4990857235