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What is the Least Common Multiple of 5124 and 5135?

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 5124 and 5135 is 26311740.

LCM(5124,5135) = 26311740

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Least Common Multiple of 5124 and 5135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5124 and 5135, than apply into the LCM equation.

GCF(5124,5135) = 1
LCM(5124,5135) = ( 5124 × 5135) / 1
LCM(5124,5135) = 26311740 / 1
LCM(5124,5135) = 26311740

Least Common Multiple (LCM) of 5124 and 5135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5124 and 5135. First we will calculate the prime factors of 5124 and 5135.

Prime Factorization of 5124

Prime factors of 5124 are 2, 3, 7, 61. Prime factorization of 5124 in exponential form is:

5124 = 22 × 31 × 71 × 611

Prime Factorization of 5135

Prime factors of 5135 are 5, 13, 79. Prime factorization of 5135 in exponential form is:

5135 = 51 × 131 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 5124 and 5135.

LCM(5124,5135) = 22 × 31 × 71 × 611 × 51 × 131 × 791
LCM(5124,5135) = 26311740