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What is the Least Common Multiple of 66185 and 66192?

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 66185 and 66192 is 625845360.

LCM(66185,66192) = 625845360

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Least Common Multiple of 66185 and 66192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66185 and 66192, than apply into the LCM equation.

GCF(66185,66192) = 7
LCM(66185,66192) = ( 66185 × 66192) / 7
LCM(66185,66192) = 4380917520 / 7
LCM(66185,66192) = 625845360

Least Common Multiple (LCM) of 66185 and 66192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66185 and 66192. First we will calculate the prime factors of 66185 and 66192.

Prime Factorization of 66185

Prime factors of 66185 are 5, 7, 31, 61. Prime factorization of 66185 in exponential form is:

66185 = 51 × 71 × 311 × 611

Prime Factorization of 66192

Prime factors of 66192 are 2, 3, 7, 197. Prime factorization of 66192 in exponential form is:

66192 = 24 × 31 × 71 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 66185 and 66192.

LCM(66185,66192) = 51 × 71 × 311 × 611 × 24 × 31 × 1971
LCM(66185,66192) = 625845360