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What is the Least Common Multiple of 66135 and 66151?

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 66151 is 4374896385.

LCM(66135,66151) = 4374896385

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Least Common Multiple of 66135 and 66151 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 66151, than apply into the LCM equation.

GCF(66135,66151) = 1
LCM(66135,66151) = ( 66135 × 66151) / 1
LCM(66135,66151) = 4374896385 / 1
LCM(66135,66151) = 4374896385

Least Common Multiple (LCM) of 66135 and 66151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66135 and 66151. First we will calculate the prime factors of 66135 and 66151.

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 66151

Prime factors of 66151 are 83, 797. Prime factorization of 66151 in exponential form is:

66151 = 831 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 66135 and 66151.

LCM(66135,66151) = 31 × 51 × 44091 × 831 × 7971
LCM(66135,66151) = 4374896385