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What is the Least Common Multiple of 66016 and 66033?

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 66016 and 66033 is 4359234528.

LCM(66016,66033) = 4359234528

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Least Common Multiple of 66016 and 66033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66016 and 66033, than apply into the LCM equation.

GCF(66016,66033) = 1
LCM(66016,66033) = ( 66016 × 66033) / 1
LCM(66016,66033) = 4359234528 / 1
LCM(66016,66033) = 4359234528

Least Common Multiple (LCM) of 66016 and 66033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66016 and 66033. First we will calculate the prime factors of 66016 and 66033.

Prime Factorization of 66016

Prime factors of 66016 are 2, 2063. Prime factorization of 66016 in exponential form is:

66016 = 25 × 20631

Prime Factorization of 66033

Prime factors of 66033 are 3, 11, 23, 29. Prime factorization of 66033 in exponential form is:

66033 = 32 × 111 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 66016 and 66033.

LCM(66016,66033) = 25 × 20631 × 32 × 111 × 231 × 291
LCM(66016,66033) = 4359234528