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What is the Least Common Multiple of 27769 and 27780?

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 27769 and 27780 is 771422820.

LCM(27769,27780) = 771422820

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Least Common Multiple of 27769 and 27780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27769 and 27780, than apply into the LCM equation.

GCF(27769,27780) = 1
LCM(27769,27780) = ( 27769 × 27780) / 1
LCM(27769,27780) = 771422820 / 1
LCM(27769,27780) = 771422820

Least Common Multiple (LCM) of 27769 and 27780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27769 and 27780. First we will calculate the prime factors of 27769 and 27780.

Prime Factorization of 27769

Prime factors of 27769 are 7, 3967. Prime factorization of 27769 in exponential form is:

27769 = 71 × 39671

Prime Factorization of 27780

Prime factors of 27780 are 2, 3, 5, 463. Prime factorization of 27780 in exponential form is:

27780 = 22 × 31 × 51 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 27769 and 27780.

LCM(27769,27780) = 71 × 39671 × 22 × 31 × 51 × 4631
LCM(27769,27780) = 771422820