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What is the Least Common Multiple of 5144 and 5152?

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 5144 and 5152 is 3312736.

LCM(5144,5152) = 3312736

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Least Common Multiple of 5144 and 5152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5144 and 5152, than apply into the LCM equation.

GCF(5144,5152) = 8
LCM(5144,5152) = ( 5144 × 5152) / 8
LCM(5144,5152) = 26501888 / 8
LCM(5144,5152) = 3312736

Least Common Multiple (LCM) of 5144 and 5152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5144 and 5152. First we will calculate the prime factors of 5144 and 5152.

Prime Factorization of 5144

Prime factors of 5144 are 2, 643. Prime factorization of 5144 in exponential form is:

5144 = 23 × 6431

Prime Factorization of 5152

Prime factors of 5152 are 2, 7, 23. Prime factorization of 5152 in exponential form is:

5152 = 25 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 5144 and 5152.

LCM(5144,5152) = 25 × 6431 × 71 × 231
LCM(5144,5152) = 3312736