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What is the Least Common Multiple of 7137 and 7155?

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 7137 and 7155 is 5673915.

LCM(7137,7155) = 5673915

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Least Common Multiple of 7137 and 7155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7137 and 7155, than apply into the LCM equation.

GCF(7137,7155) = 9
LCM(7137,7155) = ( 7137 × 7155) / 9
LCM(7137,7155) = 51065235 / 9
LCM(7137,7155) = 5673915

Least Common Multiple (LCM) of 7137 and 7155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7137 and 7155. First we will calculate the prime factors of 7137 and 7155.

Prime Factorization of 7137

Prime factors of 7137 are 3, 13, 61. Prime factorization of 7137 in exponential form is:

7137 = 32 × 131 × 611

Prime Factorization of 7155

Prime factors of 7155 are 3, 5, 53. Prime factorization of 7155 in exponential form is:

7155 = 33 × 51 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 7137 and 7155.

LCM(7137,7155) = 33 × 131 × 611 × 51 × 531
LCM(7137,7155) = 5673915