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What is the Least Common Multiple of 66135 and 66148?

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 66135 and 66148 is 4374697980.

LCM(66135,66148) = 4374697980

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Least Common Multiple of 66135 and 66148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66135 and 66148, than apply into the LCM equation.

GCF(66135,66148) = 1
LCM(66135,66148) = ( 66135 × 66148) / 1
LCM(66135,66148) = 4374697980 / 1
LCM(66135,66148) = 4374697980

Least Common Multiple (LCM) of 66135 and 66148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66135 and 66148. First we will calculate the prime factors of 66135 and 66148.

Prime Factorization of 66135

Prime factors of 66135 are 3, 5, 4409. Prime factorization of 66135 in exponential form is:

66135 = 31 × 51 × 44091

Prime Factorization of 66148

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

66148 = 22 × 231 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 66135 and 66148.

LCM(66135,66148) = 31 × 51 × 44091 × 22 × 231 × 7191
LCM(66135,66148) = 4374697980