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What is the Least Common Multiple of 7719 and 7737?

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 7719 and 7737 is 19907301.

LCM(7719,7737) = 19907301

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Least Common Multiple of 7719 and 7737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7719 and 7737, than apply into the LCM equation.

GCF(7719,7737) = 3
LCM(7719,7737) = ( 7719 × 7737) / 3
LCM(7719,7737) = 59721903 / 3
LCM(7719,7737) = 19907301

Least Common Multiple (LCM) of 7719 and 7737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7719 and 7737. First we will calculate the prime factors of 7719 and 7737.

Prime Factorization of 7719

Prime factors of 7719 are 3, 31, 83. Prime factorization of 7719 in exponential form is:

7719 = 31 × 311 × 831

Prime Factorization of 7737

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

7737 = 31 × 25791

Now multiplying the highest exponent prime factors to calculate the LCM of 7719 and 7737.

LCM(7719,7737) = 31 × 311 × 831 × 25791
LCM(7719,7737) = 19907301