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What is the Least Common Multiple of 7711 and 7731?

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 7711 and 7731 is 59613741.

LCM(7711,7731) = 59613741

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Least Common Multiple of 7711 and 7731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7711 and 7731, than apply into the LCM equation.

GCF(7711,7731) = 1
LCM(7711,7731) = ( 7711 × 7731) / 1
LCM(7711,7731) = 59613741 / 1
LCM(7711,7731) = 59613741

Least Common Multiple (LCM) of 7711 and 7731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7711 and 7731. First we will calculate the prime factors of 7711 and 7731.

Prime Factorization of 7711

Prime factors of 7711 are 11, 701. Prime factorization of 7711 in exponential form is:

7711 = 111 × 7011

Prime Factorization of 7731

Prime factors of 7731 are 3, 859. Prime factorization of 7731 in exponential form is:

7731 = 32 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 7711 and 7731.

LCM(7711,7731) = 111 × 7011 × 32 × 8591
LCM(7711,7731) = 59613741