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What is the Least Common Multiple of 66627 and 66633?

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 66627 and 66633 is 1479852297.

LCM(66627,66633) = 1479852297

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Least Common Multiple of 66627 and 66633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66627 and 66633, than apply into the LCM equation.

GCF(66627,66633) = 3
LCM(66627,66633) = ( 66627 × 66633) / 3
LCM(66627,66633) = 4439556891 / 3
LCM(66627,66633) = 1479852297

Least Common Multiple (LCM) of 66627 and 66633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66627 and 66633. First we will calculate the prime factors of 66627 and 66633.

Prime Factorization of 66627

Prime factors of 66627 are 3, 11, 673. Prime factorization of 66627 in exponential form is:

66627 = 32 × 111 × 6731

Prime Factorization of 66633

Prime factors of 66633 are 3, 7, 19, 167. Prime factorization of 66633 in exponential form is:

66633 = 31 × 71 × 191 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 66627 and 66633.

LCM(66627,66633) = 32 × 111 × 6731 × 71 × 191 × 1671
LCM(66627,66633) = 1479852297