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What is the Least Common Multiple of 7005 and 7025?

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 7005 and 7025 is 9842025.

LCM(7005,7025) = 9842025

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Least Common Multiple of 7005 and 7025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7005 and 7025, than apply into the LCM equation.

GCF(7005,7025) = 5
LCM(7005,7025) = ( 7005 × 7025) / 5
LCM(7005,7025) = 49210125 / 5
LCM(7005,7025) = 9842025

Least Common Multiple (LCM) of 7005 and 7025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7005 and 7025. First we will calculate the prime factors of 7005 and 7025.

Prime Factorization of 7005

Prime factors of 7005 are 3, 5, 467. Prime factorization of 7005 in exponential form is:

7005 = 31 × 51 × 4671

Prime Factorization of 7025

Prime factors of 7025 are 5, 281. Prime factorization of 7025 in exponential form is:

7025 = 52 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 7005 and 7025.

LCM(7005,7025) = 31 × 52 × 4671 × 2811
LCM(7005,7025) = 9842025