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What is the Least Common Multiple of 54738 and 54745?

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 54738 and 54745 is 2996631810.

LCM(54738,54745) = 2996631810

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Least Common Multiple of 54738 and 54745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54738 and 54745, than apply into the LCM equation.

GCF(54738,54745) = 1
LCM(54738,54745) = ( 54738 × 54745) / 1
LCM(54738,54745) = 2996631810 / 1
LCM(54738,54745) = 2996631810

Least Common Multiple (LCM) of 54738 and 54745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54738 and 54745. First we will calculate the prime factors of 54738 and 54745.

Prime Factorization of 54738

Prime factors of 54738 are 2, 3, 3041. Prime factorization of 54738 in exponential form is:

54738 = 21 × 32 × 30411

Prime Factorization of 54745

Prime factors of 54745 are 5, 10949. Prime factorization of 54745 in exponential form is:

54745 = 51 × 109491

Now multiplying the highest exponent prime factors to calculate the LCM of 54738 and 54745.

LCM(54738,54745) = 21 × 32 × 30411 × 51 × 109491
LCM(54738,54745) = 2996631810