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What is the Least Common Multiple of 66157 and 66162?

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 66157 and 66162 is 4377079434.

LCM(66157,66162) = 4377079434

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Least Common Multiple of 66157 and 66162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66157 and 66162, than apply into the LCM equation.

GCF(66157,66162) = 1
LCM(66157,66162) = ( 66157 × 66162) / 1
LCM(66157,66162) = 4377079434 / 1
LCM(66157,66162) = 4377079434

Least Common Multiple (LCM) of 66157 and 66162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66157 and 66162. First we will calculate the prime factors of 66157 and 66162.

Prime Factorization of 66157

Prime factors of 66157 are 7, 13, 727. Prime factorization of 66157 in exponential form is:

66157 = 71 × 131 × 7271

Prime Factorization of 66162

Prime factors of 66162 are 2, 3, 11027. Prime factorization of 66162 in exponential form is:

66162 = 21 × 31 × 110271

Now multiplying the highest exponent prime factors to calculate the LCM of 66157 and 66162.

LCM(66157,66162) = 71 × 131 × 7271 × 21 × 31 × 110271
LCM(66157,66162) = 4377079434