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What is the Least Common Multiple of 7710 and 7726?

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 7710 and 7726 is 29783730.

LCM(7710,7726) = 29783730

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Least Common Multiple of 7710 and 7726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7710 and 7726, than apply into the LCM equation.

GCF(7710,7726) = 2
LCM(7710,7726) = ( 7710 × 7726) / 2
LCM(7710,7726) = 59567460 / 2
LCM(7710,7726) = 29783730

Least Common Multiple (LCM) of 7710 and 7726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7710 and 7726. First we will calculate the prime factors of 7710 and 7726.

Prime Factorization of 7710

Prime factors of 7710 are 2, 3, 5, 257. Prime factorization of 7710 in exponential form is:

7710 = 21 × 31 × 51 × 2571

Prime Factorization of 7726

Prime factors of 7726 are 2, 3863. Prime factorization of 7726 in exponential form is:

7726 = 21 × 38631

Now multiplying the highest exponent prime factors to calculate the LCM of 7710 and 7726.

LCM(7710,7726) = 21 × 31 × 51 × 2571 × 38631
LCM(7710,7726) = 29783730