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What is the Least Common Multiple of 54936 and 54948?

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 54936 and 54948 is 251551944.

LCM(54936,54948) = 251551944

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Least Common Multiple of 54936 and 54948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54936 and 54948, than apply into the LCM equation.

GCF(54936,54948) = 12
LCM(54936,54948) = ( 54936 × 54948) / 12
LCM(54936,54948) = 3018623328 / 12
LCM(54936,54948) = 251551944

Least Common Multiple (LCM) of 54936 and 54948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54936 and 54948. First we will calculate the prime factors of 54936 and 54948.

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

Prime Factorization of 54948

Prime factors of 54948 are 2, 3, 19, 241. Prime factorization of 54948 in exponential form is:

54948 = 22 × 31 × 191 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 54936 and 54948.

LCM(54936,54948) = 23 × 32 × 71 × 1091 × 191 × 2411
LCM(54936,54948) = 251551944