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What is the Least Common Multiple of 54681 and 54698?

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 54681 and 54698 is 2990941338.

LCM(54681,54698) = 2990941338

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Least Common Multiple of 54681 and 54698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54681 and 54698, than apply into the LCM equation.

GCF(54681,54698) = 1
LCM(54681,54698) = ( 54681 × 54698) / 1
LCM(54681,54698) = 2990941338 / 1
LCM(54681,54698) = 2990941338

Least Common Multiple (LCM) of 54681 and 54698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54681 and 54698. First we will calculate the prime factors of 54681 and 54698.

Prime Factorization of 54681

Prime factors of 54681 are 3, 11, 1657. Prime factorization of 54681 in exponential form is:

54681 = 31 × 111 × 16571

Prime Factorization of 54698

Prime factors of 54698 are 2, 7, 3907. Prime factorization of 54698 in exponential form is:

54698 = 21 × 71 × 39071

Now multiplying the highest exponent prime factors to calculate the LCM of 54681 and 54698.

LCM(54681,54698) = 31 × 111 × 16571 × 21 × 71 × 39071
LCM(54681,54698) = 2990941338