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What is the Least Common Multiple of 54827 and 54834?

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 54827 and 54834 is 3006383718.

LCM(54827,54834) = 3006383718

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Least Common Multiple of 54827 and 54834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54827 and 54834, than apply into the LCM equation.

GCF(54827,54834) = 1
LCM(54827,54834) = ( 54827 × 54834) / 1
LCM(54827,54834) = 3006383718 / 1
LCM(54827,54834) = 3006383718

Least Common Multiple (LCM) of 54827 and 54834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54827 and 54834. First we will calculate the prime factors of 54827 and 54834.

Prime Factorization of 54827

Prime factors of 54827 are 109, 503. Prime factorization of 54827 in exponential form is:

54827 = 1091 × 5031

Prime Factorization of 54834

Prime factors of 54834 are 2, 3, 13, 19, 37. Prime factorization of 54834 in exponential form is:

54834 = 21 × 31 × 131 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 54827 and 54834.

LCM(54827,54834) = 1091 × 5031 × 21 × 31 × 131 × 191 × 371
LCM(54827,54834) = 3006383718