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What is the Least Common Multiple of 55764 and 55768?

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 55764 and 55768 is 777461688.

LCM(55764,55768) = 777461688

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Least Common Multiple of 55764 and 55768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55764 and 55768, than apply into the LCM equation.

GCF(55764,55768) = 4
LCM(55764,55768) = ( 55764 × 55768) / 4
LCM(55764,55768) = 3109846752 / 4
LCM(55764,55768) = 777461688

Least Common Multiple (LCM) of 55764 and 55768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55764 and 55768. First we will calculate the prime factors of 55764 and 55768.

Prime Factorization of 55764

Prime factors of 55764 are 2, 3, 1549. Prime factorization of 55764 in exponential form is:

55764 = 22 × 32 × 15491

Prime Factorization of 55768

Prime factors of 55768 are 2, 6971. Prime factorization of 55768 in exponential form is:

55768 = 23 × 69711

Now multiplying the highest exponent prime factors to calculate the LCM of 55764 and 55768.

LCM(55764,55768) = 23 × 32 × 15491 × 69711
LCM(55764,55768) = 777461688