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What is the Least Common Multiple of 7070 and 7089?

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 7070 and 7089 is 50119230.

LCM(7070,7089) = 50119230

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Least Common Multiple of 7070 and 7089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7070 and 7089, than apply into the LCM equation.

GCF(7070,7089) = 1
LCM(7070,7089) = ( 7070 × 7089) / 1
LCM(7070,7089) = 50119230 / 1
LCM(7070,7089) = 50119230

Least Common Multiple (LCM) of 7070 and 7089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7070 and 7089. First we will calculate the prime factors of 7070 and 7089.

Prime Factorization of 7070

Prime factors of 7070 are 2, 5, 7, 101. Prime factorization of 7070 in exponential form is:

7070 = 21 × 51 × 71 × 1011

Prime Factorization of 7089

Prime factors of 7089 are 3, 17, 139. Prime factorization of 7089 in exponential form is:

7089 = 31 × 171 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 7070 and 7089.

LCM(7070,7089) = 21 × 51 × 71 × 1011 × 31 × 171 × 1391
LCM(7070,7089) = 50119230