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What is the Least Common Multiple of 7070 and 7075?

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 7075 is 10004050.

LCM(7070,7075) = 10004050

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Least Common Multiple of 7070 and 7075 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 7075, than apply into the LCM equation.

GCF(7070,7075) = 5
LCM(7070,7075) = ( 7070 × 7075) / 5
LCM(7070,7075) = 50020250 / 5
LCM(7070,7075) = 10004050

Least Common Multiple (LCM) of 7070 and 7075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7070 and 7075. First we will calculate the prime factors of 7070 and 7075.

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 7075

Prime factors of 7075 are 5, 283. Prime factorization of 7075 in exponential form is:

7075 = 52 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 7070 and 7075.

LCM(7070,7075) = 21 × 52 × 71 × 1011 × 2831
LCM(7070,7075) = 10004050