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What is the Least Common Multiple of 54929 and 54936?

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 54929 and 54936 is 431082792.

LCM(54929,54936) = 431082792

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Least Common Multiple of 54929 and 54936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54929 and 54936, than apply into the LCM equation.

GCF(54929,54936) = 7
LCM(54929,54936) = ( 54929 × 54936) / 7
LCM(54929,54936) = 3017579544 / 7
LCM(54929,54936) = 431082792

Least Common Multiple (LCM) of 54929 and 54936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54929 and 54936. First we will calculate the prime factors of 54929 and 54936.

Prime Factorization of 54929

Prime factors of 54929 are 7, 19, 59. Prime factorization of 54929 in exponential form is:

54929 = 72 × 191 × 591

Prime Factorization of 54936

Prime factors of 54936 are 2, 3, 7, 109. Prime factorization of 54936 in exponential form is:

54936 = 23 × 32 × 71 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 54929 and 54936.

LCM(54929,54936) = 72 × 191 × 591 × 23 × 32 × 1091
LCM(54929,54936) = 431082792