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What is the Least Common Multiple of 54824 and 54836?

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 54824 and 54836 is 751582216.

LCM(54824,54836) = 751582216

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Least Common Multiple of 54824 and 54836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54824 and 54836, than apply into the LCM equation.

GCF(54824,54836) = 4
LCM(54824,54836) = ( 54824 × 54836) / 4
LCM(54824,54836) = 3006328864 / 4
LCM(54824,54836) = 751582216

Least Common Multiple (LCM) of 54824 and 54836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54824 and 54836. First we will calculate the prime factors of 54824 and 54836.

Prime Factorization of 54824

Prime factors of 54824 are 2, 7, 11, 89. Prime factorization of 54824 in exponential form is:

54824 = 23 × 71 × 111 × 891

Prime Factorization of 54836

Prime factors of 54836 are 2, 13709. Prime factorization of 54836 in exponential form is:

54836 = 22 × 137091

Now multiplying the highest exponent prime factors to calculate the LCM of 54824 and 54836.

LCM(54824,54836) = 23 × 71 × 111 × 891 × 137091
LCM(54824,54836) = 751582216