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What is the Least Common Multiple of 66095 and 66105?

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 66095 and 66105 is 873841995.

LCM(66095,66105) = 873841995

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Least Common Multiple of 66095 and 66105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66095 and 66105, than apply into the LCM equation.

GCF(66095,66105) = 5
LCM(66095,66105) = ( 66095 × 66105) / 5
LCM(66095,66105) = 4369209975 / 5
LCM(66095,66105) = 873841995

Least Common Multiple (LCM) of 66095 and 66105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66095 and 66105. First we will calculate the prime factors of 66095 and 66105.

Prime Factorization of 66095

Prime factors of 66095 are 5, 13219. Prime factorization of 66095 in exponential form is:

66095 = 51 × 132191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 66095 and 66105.

LCM(66095,66105) = 51 × 132191 × 32 × 131 × 1131
LCM(66095,66105) = 873841995