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What is the Least Common Multiple of 7760 and 7778?

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 7760 and 7778 is 30178640.

LCM(7760,7778) = 30178640

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Least Common Multiple of 7760 and 7778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7760 and 7778, than apply into the LCM equation.

GCF(7760,7778) = 2
LCM(7760,7778) = ( 7760 × 7778) / 2
LCM(7760,7778) = 60357280 / 2
LCM(7760,7778) = 30178640

Least Common Multiple (LCM) of 7760 and 7778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7760 and 7778. First we will calculate the prime factors of 7760 and 7778.

Prime Factorization of 7760

Prime factors of 7760 are 2, 5, 97. Prime factorization of 7760 in exponential form is:

7760 = 24 × 51 × 971

Prime Factorization of 7778

Prime factors of 7778 are 2, 3889. Prime factorization of 7778 in exponential form is:

7778 = 21 × 38891

Now multiplying the highest exponent prime factors to calculate the LCM of 7760 and 7778.

LCM(7760,7778) = 24 × 51 × 971 × 38891
LCM(7760,7778) = 30178640