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What is the Least Common Multiple of 66028 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 66028 and 66045 is 256518780.

LCM(66028,66045) = 256518780

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Least Common Multiple of 66028 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 66028 and 66045, than apply into the LCM equation.

GCF(66028,66045) = 17
LCM(66028,66045) = ( 66028 × 66045) / 17
LCM(66028,66045) = 4360819260 / 17
LCM(66028,66045) = 256518780

Least Common Multiple (LCM) of 66028 and 66045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66028 and 66045. First we will calculate the prime factors of 66028 and 66045.

Prime Factorization of 66028

Prime factors of 66028 are 2, 17, 971. Prime factorization of 66028 in exponential form is:

66028 = 22 × 171 × 9711

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 66028 and 66045.

LCM(66028,66045) = 22 × 171 × 9711 × 31 × 51 × 71 × 371
LCM(66028,66045) = 256518780