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What is the Least Common Multiple of 7737 and 7752?

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 7737 and 7752 is 19992408.

LCM(7737,7752) = 19992408

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Least Common Multiple of 7737 and 7752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7737 and 7752, than apply into the LCM equation.

GCF(7737,7752) = 3
LCM(7737,7752) = ( 7737 × 7752) / 3
LCM(7737,7752) = 59977224 / 3
LCM(7737,7752) = 19992408

Least Common Multiple (LCM) of 7737 and 7752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7737 and 7752. First we will calculate the prime factors of 7737 and 7752.

Prime Factorization of 7737

Prime factors of 7737 are 3, 2579. Prime factorization of 7737 in exponential form is:

7737 = 31 × 25791

Prime Factorization of 7752

Prime factors of 7752 are 2, 3, 17, 19. Prime factorization of 7752 in exponential form is:

7752 = 23 × 31 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 7737 and 7752.

LCM(7737,7752) = 31 × 25791 × 23 × 171 × 191
LCM(7737,7752) = 19992408