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What is the Least Common Multiple of 55775 and 55788?

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 55775 and 55788 is 3111575700.

LCM(55775,55788) = 3111575700

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Least Common Multiple of 55775 and 55788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55775 and 55788, than apply into the LCM equation.

GCF(55775,55788) = 1
LCM(55775,55788) = ( 55775 × 55788) / 1
LCM(55775,55788) = 3111575700 / 1
LCM(55775,55788) = 3111575700

Least Common Multiple (LCM) of 55775 and 55788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55775 and 55788. First we will calculate the prime factors of 55775 and 55788.

Prime Factorization of 55775

Prime factors of 55775 are 5, 23, 97. Prime factorization of 55775 in exponential form is:

55775 = 52 × 231 × 971

Prime Factorization of 55788

Prime factors of 55788 are 2, 3, 4649. Prime factorization of 55788 in exponential form is:

55788 = 22 × 31 × 46491

Now multiplying the highest exponent prime factors to calculate the LCM of 55775 and 55788.

LCM(55775,55788) = 52 × 231 × 971 × 22 × 31 × 46491
LCM(55775,55788) = 3111575700