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What is the Least Common Multiple of 61772 and 61779?

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 61772 and 61779 is 3816212388.

LCM(61772,61779) = 3816212388

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Least Common Multiple of 61772 and 61779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61772 and 61779, than apply into the LCM equation.

GCF(61772,61779) = 1
LCM(61772,61779) = ( 61772 × 61779) / 1
LCM(61772,61779) = 3816212388 / 1
LCM(61772,61779) = 3816212388

Least Common Multiple (LCM) of 61772 and 61779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61772 and 61779. First we will calculate the prime factors of 61772 and 61779.

Prime Factorization of 61772

Prime factors of 61772 are 2, 15443. Prime factorization of 61772 in exponential form is:

61772 = 22 × 154431

Prime Factorization of 61779

Prime factors of 61779 are 3, 20593. Prime factorization of 61779 in exponential form is:

61779 = 31 × 205931

Now multiplying the highest exponent prime factors to calculate the LCM of 61772 and 61779.

LCM(61772,61779) = 22 × 154431 × 31 × 205931
LCM(61772,61779) = 3816212388