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What is the Least Common Multiple of 5145 and 5154?

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 5145 and 5154 is 8839110.

LCM(5145,5154) = 8839110

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Least Common Multiple of 5145 and 5154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5145 and 5154, than apply into the LCM equation.

GCF(5145,5154) = 3
LCM(5145,5154) = ( 5145 × 5154) / 3
LCM(5145,5154) = 26517330 / 3
LCM(5145,5154) = 8839110

Least Common Multiple (LCM) of 5145 and 5154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5145 and 5154. First we will calculate the prime factors of 5145 and 5154.

Prime Factorization of 5145

Prime factors of 5145 are 3, 5, 7. Prime factorization of 5145 in exponential form is:

5145 = 31 × 51 × 73

Prime Factorization of 5154

Prime factors of 5154 are 2, 3, 859. Prime factorization of 5154 in exponential form is:

5154 = 21 × 31 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 5145 and 5154.

LCM(5145,5154) = 31 × 51 × 73 × 21 × 8591
LCM(5145,5154) = 8839110