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What is the Least Common Multiple of 2722 and 2740?

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 2722 and 2740 is 3729140.

LCM(2722,2740) = 3729140

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Least Common Multiple of 2722 and 2740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2722 and 2740, than apply into the LCM equation.

GCF(2722,2740) = 2
LCM(2722,2740) = ( 2722 × 2740) / 2
LCM(2722,2740) = 7458280 / 2
LCM(2722,2740) = 3729140

Least Common Multiple (LCM) of 2722 and 2740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2722 and 2740. First we will calculate the prime factors of 2722 and 2740.

Prime Factorization of 2722

Prime factors of 2722 are 2, 1361. Prime factorization of 2722 in exponential form is:

2722 = 21 × 13611

Prime Factorization of 2740

Prime factors of 2740 are 2, 5, 137. Prime factorization of 2740 in exponential form is:

2740 = 22 × 51 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 2722 and 2740.

LCM(2722,2740) = 22 × 13611 × 51 × 1371
LCM(2722,2740) = 3729140