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What is the Least Common Multiple of 720 and 738?

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 720 and 738 is 29520.

LCM(720,738) = 29520

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Least Common Multiple of 720 and 738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 720 and 738, than apply into the LCM equation.

GCF(720,738) = 18
LCM(720,738) = ( 720 × 738) / 18
LCM(720,738) = 531360 / 18
LCM(720,738) = 29520

Least Common Multiple (LCM) of 720 and 738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 720 and 738. First we will calculate the prime factors of 720 and 738.

Prime Factorization of 720

Prime factors of 720 are 2, 3, 5. Prime factorization of 720 in exponential form is:

720 = 24 × 32 × 51

Prime Factorization of 738

Prime factors of 738 are 2, 3, 41. Prime factorization of 738 in exponential form is:

738 = 21 × 32 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 720 and 738.

LCM(720,738) = 24 × 32 × 51 × 411
LCM(720,738) = 29520