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What is the Least Common Multiple of 56668 and 56684?

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 56668 and 56684 is 803042228.

LCM(56668,56684) = 803042228

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Least Common Multiple of 56668 and 56684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56668 and 56684, than apply into the LCM equation.

GCF(56668,56684) = 4
LCM(56668,56684) = ( 56668 × 56684) / 4
LCM(56668,56684) = 3212168912 / 4
LCM(56668,56684) = 803042228

Least Common Multiple (LCM) of 56668 and 56684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56668 and 56684. First we will calculate the prime factors of 56668 and 56684.

Prime Factorization of 56668

Prime factors of 56668 are 2, 31, 457. Prime factorization of 56668 in exponential form is:

56668 = 22 × 311 × 4571

Prime Factorization of 56684

Prime factors of 56684 are 2, 37, 383. Prime factorization of 56684 in exponential form is:

56684 = 22 × 371 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 56668 and 56684.

LCM(56668,56684) = 22 × 311 × 4571 × 371 × 3831
LCM(56668,56684) = 803042228