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What is the Least Common Multiple of 66668 and 66675?

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 66675 is 635012700.

LCM(66668,66675) = 635012700

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Least Common Multiple of 66668 and 66675 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 66675, than apply into the LCM equation.

GCF(66668,66675) = 7
LCM(66668,66675) = ( 66668 × 66675) / 7
LCM(66668,66675) = 4445088900 / 7
LCM(66668,66675) = 635012700

Least Common Multiple (LCM) of 66668 and 66675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66668 and 66675. First we will calculate the prime factors of 66668 and 66675.

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 66675

Prime factors of 66675 are 3, 5, 7, 127. Prime factorization of 66675 in exponential form is:

66675 = 31 × 52 × 71 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 66668 and 66675.

LCM(66668,66675) = 22 × 71 × 23811 × 31 × 52 × 1271
LCM(66668,66675) = 635012700