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What is the Least Common Multiple of 56674 and 56682?

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 56674 and 56682 is 1606197834.

LCM(56674,56682) = 1606197834

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Least Common Multiple of 56674 and 56682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56674 and 56682, than apply into the LCM equation.

GCF(56674,56682) = 2
LCM(56674,56682) = ( 56674 × 56682) / 2
LCM(56674,56682) = 3212395668 / 2
LCM(56674,56682) = 1606197834

Least Common Multiple (LCM) of 56674 and 56682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56674 and 56682. First we will calculate the prime factors of 56674 and 56682.

Prime Factorization of 56674

Prime factors of 56674 are 2, 43, 659. Prime factorization of 56674 in exponential form is:

56674 = 21 × 431 × 6591

Prime Factorization of 56682

Prime factors of 56682 are 2, 3, 47, 67. Prime factorization of 56682 in exponential form is:

56682 = 21 × 32 × 471 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 56674 and 56682.

LCM(56674,56682) = 21 × 431 × 6591 × 32 × 471 × 671
LCM(56674,56682) = 1606197834