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What is the Least Common Multiple of 66894 and 66899?

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 66894 and 66899 is 4475141706.

LCM(66894,66899) = 4475141706

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Least Common Multiple of 66894 and 66899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66894 and 66899, than apply into the LCM equation.

GCF(66894,66899) = 1
LCM(66894,66899) = ( 66894 × 66899) / 1
LCM(66894,66899) = 4475141706 / 1
LCM(66894,66899) = 4475141706

Least Common Multiple (LCM) of 66894 and 66899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66894 and 66899. First we will calculate the prime factors of 66894 and 66899.

Prime Factorization of 66894

Prime factors of 66894 are 2, 3, 11149. Prime factorization of 66894 in exponential form is:

66894 = 21 × 31 × 111491

Prime Factorization of 66899

Prime factors of 66899 are 7, 19, 503. Prime factorization of 66899 in exponential form is:

66899 = 71 × 191 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 66894 and 66899.

LCM(66894,66899) = 21 × 31 × 111491 × 71 × 191 × 5031
LCM(66894,66899) = 4475141706