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What is the Least Common Multiple of 66616 and 66636?

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 66616 and 66636 is 1109755944.

LCM(66616,66636) = 1109755944

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Least Common Multiple of 66616 and 66636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66616 and 66636, than apply into the LCM equation.

GCF(66616,66636) = 4
LCM(66616,66636) = ( 66616 × 66636) / 4
LCM(66616,66636) = 4439023776 / 4
LCM(66616,66636) = 1109755944

Least Common Multiple (LCM) of 66616 and 66636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66616 and 66636. First we will calculate the prime factors of 66616 and 66636.

Prime Factorization of 66616

Prime factors of 66616 are 2, 11, 757. Prime factorization of 66616 in exponential form is:

66616 = 23 × 111 × 7571

Prime Factorization of 66636

Prime factors of 66636 are 2, 3, 617. Prime factorization of 66636 in exponential form is:

66636 = 22 × 33 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 66616 and 66636.

LCM(66616,66636) = 23 × 111 × 7571 × 33 × 6171
LCM(66616,66636) = 1109755944