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What is the Least Common Multiple of 2716 and 2729?

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 2716 and 2729 is 7411964.

LCM(2716,2729) = 7411964

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Least Common Multiple of 2716 and 2729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2716 and 2729, than apply into the LCM equation.

GCF(2716,2729) = 1
LCM(2716,2729) = ( 2716 × 2729) / 1
LCM(2716,2729) = 7411964 / 1
LCM(2716,2729) = 7411964

Least Common Multiple (LCM) of 2716 and 2729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2716 and 2729. First we will calculate the prime factors of 2716 and 2729.

Prime Factorization of 2716

Prime factors of 2716 are 2, 7, 97. Prime factorization of 2716 in exponential form is:

2716 = 22 × 71 × 971

Prime Factorization of 2729

Prime factors of 2729 are 2729. Prime factorization of 2729 in exponential form is:

2729 = 27291

Now multiplying the highest exponent prime factors to calculate the LCM of 2716 and 2729.

LCM(2716,2729) = 22 × 71 × 971 × 27291
LCM(2716,2729) = 7411964