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What is the Least Common Multiple of 21668 and 21685?

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 21668 and 21685 is 469870580.

LCM(21668,21685) = 469870580

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Least Common Multiple of 21668 and 21685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21668 and 21685, than apply into the LCM equation.

GCF(21668,21685) = 1
LCM(21668,21685) = ( 21668 × 21685) / 1
LCM(21668,21685) = 469870580 / 1
LCM(21668,21685) = 469870580

Least Common Multiple (LCM) of 21668 and 21685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21668 and 21685. First we will calculate the prime factors of 21668 and 21685.

Prime Factorization of 21668

Prime factors of 21668 are 2, 5417. Prime factorization of 21668 in exponential form is:

21668 = 22 × 54171

Prime Factorization of 21685

Prime factors of 21685 are 5, 4337. Prime factorization of 21685 in exponential form is:

21685 = 51 × 43371

Now multiplying the highest exponent prime factors to calculate the LCM of 21668 and 21685.

LCM(21668,21685) = 22 × 54171 × 51 × 43371
LCM(21668,21685) = 469870580