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What is the Least Common Multiple of 11741 and 11761?

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 11741 and 11761 is 138085901.

LCM(11741,11761) = 138085901

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Least Common Multiple of 11741 and 11761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11741 and 11761, than apply into the LCM equation.

GCF(11741,11761) = 1
LCM(11741,11761) = ( 11741 × 11761) / 1
LCM(11741,11761) = 138085901 / 1
LCM(11741,11761) = 138085901

Least Common Multiple (LCM) of 11741 and 11761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11741 and 11761. First we will calculate the prime factors of 11741 and 11761.

Prime Factorization of 11741

Prime factors of 11741 are 59, 199. Prime factorization of 11741 in exponential form is:

11741 = 591 × 1991

Prime Factorization of 11761

Prime factors of 11761 are 19, 619. Prime factorization of 11761 in exponential form is:

11761 = 191 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 11741 and 11761.

LCM(11741,11761) = 591 × 1991 × 191 × 6191
LCM(11741,11761) = 138085901