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What is the Least Common Multiple of 5429 and 5448?

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 5429 and 5448 is 29577192.

LCM(5429,5448) = 29577192

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Least Common Multiple of 5429 and 5448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5429 and 5448, than apply into the LCM equation.

GCF(5429,5448) = 1
LCM(5429,5448) = ( 5429 × 5448) / 1
LCM(5429,5448) = 29577192 / 1
LCM(5429,5448) = 29577192

Least Common Multiple (LCM) of 5429 and 5448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5429 and 5448. First we will calculate the prime factors of 5429 and 5448.

Prime Factorization of 5429

Prime factors of 5429 are 61, 89. Prime factorization of 5429 in exponential form is:

5429 = 611 × 891

Prime Factorization of 5448

Prime factors of 5448 are 2, 3, 227. Prime factorization of 5448 in exponential form is:

5448 = 23 × 31 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 5429 and 5448.

LCM(5429,5448) = 611 × 891 × 23 × 31 × 2271
LCM(5429,5448) = 29577192