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What is the Least Common Multiple of 7720 and 7724?

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 7720 and 7724 is 14907320.

LCM(7720,7724) = 14907320

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Least Common Multiple of 7720 and 7724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7720 and 7724, than apply into the LCM equation.

GCF(7720,7724) = 4
LCM(7720,7724) = ( 7720 × 7724) / 4
LCM(7720,7724) = 59629280 / 4
LCM(7720,7724) = 14907320

Least Common Multiple (LCM) of 7720 and 7724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7720 and 7724. First we will calculate the prime factors of 7720 and 7724.

Prime Factorization of 7720

Prime factors of 7720 are 2, 5, 193. Prime factorization of 7720 in exponential form is:

7720 = 23 × 51 × 1931

Prime Factorization of 7724

Prime factors of 7724 are 2, 1931. Prime factorization of 7724 in exponential form is:

7724 = 22 × 19311

Now multiplying the highest exponent prime factors to calculate the LCM of 7720 and 7724.

LCM(7720,7724) = 23 × 51 × 1931 × 19311
LCM(7720,7724) = 14907320