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What is the Least Common Multiple of 6611 and 6616?

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 6611 and 6616 is 43738376.

LCM(6611,6616) = 43738376

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Least Common Multiple of 6611 and 6616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6611 and 6616, than apply into the LCM equation.

GCF(6611,6616) = 1
LCM(6611,6616) = ( 6611 × 6616) / 1
LCM(6611,6616) = 43738376 / 1
LCM(6611,6616) = 43738376

Least Common Multiple (LCM) of 6611 and 6616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6611 and 6616. First we will calculate the prime factors of 6611 and 6616.

Prime Factorization of 6611

Prime factors of 6611 are 11, 601. Prime factorization of 6611 in exponential form is:

6611 = 111 × 6011

Prime Factorization of 6616

Prime factors of 6616 are 2, 827. Prime factorization of 6616 in exponential form is:

6616 = 23 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 6611 and 6616.

LCM(6611,6616) = 111 × 6011 × 23 × 8271
LCM(6611,6616) = 43738376