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What is the Least Common Multiple of 7755 and 7766?

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 7755 and 7766 is 5475030.

LCM(7755,7766) = 5475030

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Least Common Multiple of 7755 and 7766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7755 and 7766, than apply into the LCM equation.

GCF(7755,7766) = 11
LCM(7755,7766) = ( 7755 × 7766) / 11
LCM(7755,7766) = 60225330 / 11
LCM(7755,7766) = 5475030

Least Common Multiple (LCM) of 7755 and 7766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7755 and 7766. First we will calculate the prime factors of 7755 and 7766.

Prime Factorization of 7755

Prime factors of 7755 are 3, 5, 11, 47. Prime factorization of 7755 in exponential form is:

7755 = 31 × 51 × 111 × 471

Prime Factorization of 7766

Prime factors of 7766 are 2, 11, 353. Prime factorization of 7766 in exponential form is:

7766 = 21 × 111 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 7755 and 7766.

LCM(7755,7766) = 31 × 51 × 111 × 471 × 21 × 3531
LCM(7755,7766) = 5475030