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What is the Least Common Multiple of 66658 and 66668?

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 66658 and 66668 is 2221977772.

LCM(66658,66668) = 2221977772

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Least Common Multiple of 66658 and 66668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66658 and 66668, than apply into the LCM equation.

GCF(66658,66668) = 2
LCM(66658,66668) = ( 66658 × 66668) / 2
LCM(66658,66668) = 4443955544 / 2
LCM(66658,66668) = 2221977772

Least Common Multiple (LCM) of 66658 and 66668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66658 and 66668. First we will calculate the prime factors of 66658 and 66668.

Prime Factorization of 66658

Prime factors of 66658 are 2, 33329. Prime factorization of 66658 in exponential form is:

66658 = 21 × 333291

Prime Factorization of 66668

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

66668 = 22 × 71 × 23811

Now multiplying the highest exponent prime factors to calculate the LCM of 66658 and 66668.

LCM(66658,66668) = 22 × 333291 × 71 × 23811
LCM(66658,66668) = 2221977772