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What is the Least Common Multiple of 7164 and 7175?

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 7164 and 7175 is 51401700.

LCM(7164,7175) = 51401700

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Least Common Multiple of 7164 and 7175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7164 and 7175, than apply into the LCM equation.

GCF(7164,7175) = 1
LCM(7164,7175) = ( 7164 × 7175) / 1
LCM(7164,7175) = 51401700 / 1
LCM(7164,7175) = 51401700

Least Common Multiple (LCM) of 7164 and 7175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7164 and 7175. First we will calculate the prime factors of 7164 and 7175.

Prime Factorization of 7164

Prime factors of 7164 are 2, 3, 199. Prime factorization of 7164 in exponential form is:

7164 = 22 × 32 × 1991

Prime Factorization of 7175

Prime factors of 7175 are 5, 7, 41. Prime factorization of 7175 in exponential form is:

7175 = 52 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 7164 and 7175.

LCM(7164,7175) = 22 × 32 × 1991 × 52 × 71 × 411
LCM(7164,7175) = 51401700