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What is the Least Common Multiple of 2741 and 2761?

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 2741 and 2761 is 7567901.

LCM(2741,2761) = 7567901

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Least Common Multiple of 2741 and 2761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2741 and 2761, than apply into the LCM equation.

GCF(2741,2761) = 1
LCM(2741,2761) = ( 2741 × 2761) / 1
LCM(2741,2761) = 7567901 / 1
LCM(2741,2761) = 7567901

Least Common Multiple (LCM) of 2741 and 2761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2741 and 2761. First we will calculate the prime factors of 2741 and 2761.

Prime Factorization of 2741

Prime factors of 2741 are 2741. Prime factorization of 2741 in exponential form is:

2741 = 27411

Prime Factorization of 2761

Prime factors of 2761 are 11, 251. Prime factorization of 2761 in exponential form is:

2761 = 111 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 2741 and 2761.

LCM(2741,2761) = 27411 × 111 × 2511
LCM(2741,2761) = 7567901