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What is the Least Common Multiple of 3720 and 3729?

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 3720 and 3729 is 4623960.

LCM(3720,3729) = 4623960

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Least Common Multiple of 3720 and 3729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3720 and 3729, than apply into the LCM equation.

GCF(3720,3729) = 3
LCM(3720,3729) = ( 3720 × 3729) / 3
LCM(3720,3729) = 13871880 / 3
LCM(3720,3729) = 4623960

Least Common Multiple (LCM) of 3720 and 3729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3720 and 3729. First we will calculate the prime factors of 3720 and 3729.

Prime Factorization of 3720

Prime factors of 3720 are 2, 3, 5, 31. Prime factorization of 3720 in exponential form is:

3720 = 23 × 31 × 51 × 311

Prime Factorization of 3729

Prime factors of 3729 are 3, 11, 113. Prime factorization of 3729 in exponential form is:

3729 = 31 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3720 and 3729.

LCM(3720,3729) = 23 × 31 × 51 × 311 × 111 × 1131
LCM(3720,3729) = 4623960