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What is the Least Common Multiple of 51175 and 51184?

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 51175 and 51184 is 2619341200.

LCM(51175,51184) = 2619341200

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Least Common Multiple of 51175 and 51184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51175 and 51184, than apply into the LCM equation.

GCF(51175,51184) = 1
LCM(51175,51184) = ( 51175 × 51184) / 1
LCM(51175,51184) = 2619341200 / 1
LCM(51175,51184) = 2619341200

Least Common Multiple (LCM) of 51175 and 51184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51175 and 51184. First we will calculate the prime factors of 51175 and 51184.

Prime Factorization of 51175

Prime factors of 51175 are 5, 23, 89. Prime factorization of 51175 in exponential form is:

51175 = 52 × 231 × 891

Prime Factorization of 51184

Prime factors of 51184 are 2, 7, 457. Prime factorization of 51184 in exponential form is:

51184 = 24 × 71 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 51175 and 51184.

LCM(51175,51184) = 52 × 231 × 891 × 24 × 71 × 4571
LCM(51175,51184) = 2619341200