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What is the Least Common Multiple of 73828 and 73841?

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 73828 and 73841 is 5451533348.

LCM(73828,73841) = 5451533348

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Least Common Multiple of 73828 and 73841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73828 and 73841, than apply into the LCM equation.

GCF(73828,73841) = 1
LCM(73828,73841) = ( 73828 × 73841) / 1
LCM(73828,73841) = 5451533348 / 1
LCM(73828,73841) = 5451533348

Least Common Multiple (LCM) of 73828 and 73841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73828 and 73841. First we will calculate the prime factors of 73828 and 73841.

Prime Factorization of 73828

Prime factors of 73828 are 2, 18457. Prime factorization of 73828 in exponential form is:

73828 = 22 × 184571

Prime Factorization of 73841

Prime factors of 73841 are 41, 1801. Prime factorization of 73841 in exponential form is:

73841 = 411 × 18011

Now multiplying the highest exponent prime factors to calculate the LCM of 73828 and 73841.

LCM(73828,73841) = 22 × 184571 × 411 × 18011
LCM(73828,73841) = 5451533348