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What is the Least Common Multiple of 70213 and 70227?

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 70213 and 70227 is 4930848351.

LCM(70213,70227) = 4930848351

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Least Common Multiple of 70213 and 70227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70213 and 70227, than apply into the LCM equation.

GCF(70213,70227) = 1
LCM(70213,70227) = ( 70213 × 70227) / 1
LCM(70213,70227) = 4930848351 / 1
LCM(70213,70227) = 4930848351

Least Common Multiple (LCM) of 70213 and 70227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70213 and 70227. First we will calculate the prime factors of 70213 and 70227.

Prime Factorization of 70213

Prime factors of 70213 are 11, 13, 491. Prime factorization of 70213 in exponential form is:

70213 = 111 × 131 × 4911

Prime Factorization of 70227

Prime factors of 70227 are 3, 17. Prime factorization of 70227 in exponential form is:

70227 = 35 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 70213 and 70227.

LCM(70213,70227) = 111 × 131 × 4911 × 35 × 172
LCM(70213,70227) = 4930848351