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What is the Least Common Multiple of 66031 and 66045?

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 66031 and 66045 is 623002485.

LCM(66031,66045) = 623002485

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Least Common Multiple of 66031 and 66045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66031 and 66045, than apply into the LCM equation.

GCF(66031,66045) = 7
LCM(66031,66045) = ( 66031 × 66045) / 7
LCM(66031,66045) = 4361017395 / 7
LCM(66031,66045) = 623002485

Least Common Multiple (LCM) of 66031 and 66045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66031 and 66045. First we will calculate the prime factors of 66031 and 66045.

Prime Factorization of 66031

Prime factors of 66031 are 7, 9433. Prime factorization of 66031 in exponential form is:

66031 = 71 × 94331

Prime Factorization of 66045

Prime factors of 66045 are 3, 5, 7, 17, 37. Prime factorization of 66045 in exponential form is:

66045 = 31 × 51 × 71 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 66031 and 66045.

LCM(66031,66045) = 71 × 94331 × 31 × 51 × 171 × 371
LCM(66031,66045) = 623002485