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What is the Least Common Multiple of 54771 and 54778?

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 54771 and 54778 is 3000245838.

LCM(54771,54778) = 3000245838

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Least Common Multiple of 54771 and 54778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54771 and 54778, than apply into the LCM equation.

GCF(54771,54778) = 1
LCM(54771,54778) = ( 54771 × 54778) / 1
LCM(54771,54778) = 3000245838 / 1
LCM(54771,54778) = 3000245838

Least Common Multiple (LCM) of 54771 and 54778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54771 and 54778. First we will calculate the prime factors of 54771 and 54778.

Prime Factorization of 54771

Prime factors of 54771 are 3, 18257. Prime factorization of 54771 in exponential form is:

54771 = 31 × 182571

Prime Factorization of 54778

Prime factors of 54778 are 2, 61, 449. Prime factorization of 54778 in exponential form is:

54778 = 21 × 611 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 54771 and 54778.

LCM(54771,54778) = 31 × 182571 × 21 × 611 × 4491
LCM(54771,54778) = 3000245838