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What is the Least Common Multiple of 66668 and 66673?

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 66668 and 66673 is 4444955564.

LCM(66668,66673) = 4444955564

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Least Common Multiple of 66668 and 66673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66668 and 66673, than apply into the LCM equation.

GCF(66668,66673) = 1
LCM(66668,66673) = ( 66668 × 66673) / 1
LCM(66668,66673) = 4444955564 / 1
LCM(66668,66673) = 4444955564

Least Common Multiple (LCM) of 66668 and 66673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66668 and 66673. First we will calculate the prime factors of 66668 and 66673.

Prime Factorization of 66668

Prime factors of 66668 are 2, 7, 2381. Prime factorization of 66668 in exponential form is:

66668 = 22 × 71 × 23811

Prime Factorization of 66673

Prime factors of 66673 are 61, 1093. Prime factorization of 66673 in exponential form is:

66673 = 611 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 66668 and 66673.

LCM(66668,66673) = 22 × 71 × 23811 × 611 × 10931
LCM(66668,66673) = 4444955564