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What is the Least Common Multiple of 66105 and 66112?

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 66105 and 66112 is 4370333760.

LCM(66105,66112) = 4370333760

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Least Common Multiple of 66105 and 66112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66105 and 66112, than apply into the LCM equation.

GCF(66105,66112) = 1
LCM(66105,66112) = ( 66105 × 66112) / 1
LCM(66105,66112) = 4370333760 / 1
LCM(66105,66112) = 4370333760

Least Common Multiple (LCM) of 66105 and 66112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66105 and 66112. First we will calculate the prime factors of 66105 and 66112.

Prime Factorization of 66105

Prime factors of 66105 are 3, 5, 13, 113. Prime factorization of 66105 in exponential form is:

66105 = 32 × 51 × 131 × 1131

Prime Factorization of 66112

Prime factors of 66112 are 2, 1033. Prime factorization of 66112 in exponential form is:

66112 = 26 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 66105 and 66112.

LCM(66105,66112) = 32 × 51 × 131 × 1131 × 26 × 10331
LCM(66105,66112) = 4370333760