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What is the Least Common Multiple of 7611 and 7616?

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 7611 and 7616 is 57965376.

LCM(7611,7616) = 57965376

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Least Common Multiple of 7611 and 7616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7611 and 7616, than apply into the LCM equation.

GCF(7611,7616) = 1
LCM(7611,7616) = ( 7611 × 7616) / 1
LCM(7611,7616) = 57965376 / 1
LCM(7611,7616) = 57965376

Least Common Multiple (LCM) of 7611 and 7616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7611 and 7616. First we will calculate the prime factors of 7611 and 7616.

Prime Factorization of 7611

Prime factors of 7611 are 3, 43, 59. Prime factorization of 7611 in exponential form is:

7611 = 31 × 431 × 591

Prime Factorization of 7616

Prime factors of 7616 are 2, 7, 17. Prime factorization of 7616 in exponential form is:

7616 = 26 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 7611 and 7616.

LCM(7611,7616) = 31 × 431 × 591 × 26 × 71 × 171
LCM(7611,7616) = 57965376