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What is the Least Common Multiple of 7772 and 7789?

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 7772 and 7789 is 60536108.

LCM(7772,7789) = 60536108

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Least Common Multiple of 7772 and 7789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7772 and 7789, than apply into the LCM equation.

GCF(7772,7789) = 1
LCM(7772,7789) = ( 7772 × 7789) / 1
LCM(7772,7789) = 60536108 / 1
LCM(7772,7789) = 60536108

Least Common Multiple (LCM) of 7772 and 7789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7772 and 7789. First we will calculate the prime factors of 7772 and 7789.

Prime Factorization of 7772

Prime factors of 7772 are 2, 29, 67. Prime factorization of 7772 in exponential form is:

7772 = 22 × 291 × 671

Prime Factorization of 7789

Prime factors of 7789 are 7789. Prime factorization of 7789 in exponential form is:

7789 = 77891

Now multiplying the highest exponent prime factors to calculate the LCM of 7772 and 7789.

LCM(7772,7789) = 22 × 291 × 671 × 77891
LCM(7772,7789) = 60536108