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What is the Least Common Multiple of 54656 and 54673?

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 54656 and 54673 is 2988207488.

LCM(54656,54673) = 2988207488

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Least Common Multiple of 54656 and 54673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54656 and 54673, than apply into the LCM equation.

GCF(54656,54673) = 1
LCM(54656,54673) = ( 54656 × 54673) / 1
LCM(54656,54673) = 2988207488 / 1
LCM(54656,54673) = 2988207488

Least Common Multiple (LCM) of 54656 and 54673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54656 and 54673. First we will calculate the prime factors of 54656 and 54673.

Prime Factorization of 54656

Prime factors of 54656 are 2, 7, 61. Prime factorization of 54656 in exponential form is:

54656 = 27 × 71 × 611

Prime Factorization of 54673

Prime factors of 54673 are 54673. Prime factorization of 54673 in exponential form is:

54673 = 546731

Now multiplying the highest exponent prime factors to calculate the LCM of 54656 and 54673.

LCM(54656,54673) = 27 × 71 × 611 × 546731
LCM(54656,54673) = 2988207488