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What is the Least Common Multiple of 54661 and 54681?

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 54661 and 54681 is 2988918141.

LCM(54661,54681) = 2988918141

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Least Common Multiple of 54661 and 54681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54661 and 54681, than apply into the LCM equation.

GCF(54661,54681) = 1
LCM(54661,54681) = ( 54661 × 54681) / 1
LCM(54661,54681) = 2988918141 / 1
LCM(54661,54681) = 2988918141

Least Common Multiple (LCM) of 54661 and 54681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54661 and 54681. First we will calculate the prime factors of 54661 and 54681.

Prime Factorization of 54661

Prime factors of 54661 are 47, 1163. Prime factorization of 54661 in exponential form is:

54661 = 471 × 11631

Prime Factorization of 54681

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

54681 = 31 × 111 × 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 54661 and 54681.

LCM(54661,54681) = 471 × 11631 × 31 × 111 × 16571
LCM(54661,54681) = 2988918141