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What is the Least Common Multiple of 66148 and 66165?

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 66148 and 66165 is 4376682420.

LCM(66148,66165) = 4376682420

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Least Common Multiple of 66148 and 66165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66148 and 66165, than apply into the LCM equation.

GCF(66148,66165) = 1
LCM(66148,66165) = ( 66148 × 66165) / 1
LCM(66148,66165) = 4376682420 / 1
LCM(66148,66165) = 4376682420

Least Common Multiple (LCM) of 66148 and 66165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66148 and 66165. First we will calculate the prime factors of 66148 and 66165.

Prime Factorization of 66148

Prime factors of 66148 are 2, 23, 719. Prime factorization of 66148 in exponential form is:

66148 = 22 × 231 × 7191

Prime Factorization of 66165

Prime factors of 66165 are 3, 5, 11, 401. Prime factorization of 66165 in exponential form is:

66165 = 31 × 51 × 111 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 66148 and 66165.

LCM(66148,66165) = 22 × 231 × 7191 × 31 × 51 × 111 × 4011
LCM(66148,66165) = 4376682420