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What is the Least Common Multiple of 54952 and 54966?

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 54952 and 54966 is 1510245816.

LCM(54952,54966) = 1510245816

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Least Common Multiple of 54952 and 54966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54952 and 54966, than apply into the LCM equation.

GCF(54952,54966) = 2
LCM(54952,54966) = ( 54952 × 54966) / 2
LCM(54952,54966) = 3020491632 / 2
LCM(54952,54966) = 1510245816

Least Common Multiple (LCM) of 54952 and 54966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54952 and 54966. First we will calculate the prime factors of 54952 and 54966.

Prime Factorization of 54952

Prime factors of 54952 are 2, 6869. Prime factorization of 54952 in exponential form is:

54952 = 23 × 68691

Prime Factorization of 54966

Prime factors of 54966 are 2, 3, 9161. Prime factorization of 54966 in exponential form is:

54966 = 21 × 31 × 91611

Now multiplying the highest exponent prime factors to calculate the LCM of 54952 and 54966.

LCM(54952,54966) = 23 × 68691 × 31 × 91611
LCM(54952,54966) = 1510245816