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What is the Least Common Multiple of 2711 and 2730?

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 2711 and 2730 is 7401030.

LCM(2711,2730) = 7401030

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Least Common Multiple of 2711 and 2730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2711 and 2730, than apply into the LCM equation.

GCF(2711,2730) = 1
LCM(2711,2730) = ( 2711 × 2730) / 1
LCM(2711,2730) = 7401030 / 1
LCM(2711,2730) = 7401030

Least Common Multiple (LCM) of 2711 and 2730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2711 and 2730. First we will calculate the prime factors of 2711 and 2730.

Prime Factorization of 2711

Prime factors of 2711 are 2711. Prime factorization of 2711 in exponential form is:

2711 = 27111

Prime Factorization of 2730

Prime factors of 2730 are 2, 3, 5, 7, 13. Prime factorization of 2730 in exponential form is:

2730 = 21 × 31 × 51 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 2711 and 2730.

LCM(2711,2730) = 27111 × 21 × 31 × 51 × 71 × 131
LCM(2711,2730) = 7401030