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What is the Least Common Multiple of 73807 and 73811?

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 73807 and 73811 is 5447768477.

LCM(73807,73811) = 5447768477

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Least Common Multiple of 73807 and 73811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73807 and 73811, than apply into the LCM equation.

GCF(73807,73811) = 1
LCM(73807,73811) = ( 73807 × 73811) / 1
LCM(73807,73811) = 5447768477 / 1
LCM(73807,73811) = 5447768477

Least Common Multiple (LCM) of 73807 and 73811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73807 and 73811. First we will calculate the prime factors of 73807 and 73811.

Prime Factorization of 73807

Prime factors of 73807 are 23, 3209. Prime factorization of 73807 in exponential form is:

73807 = 231 × 32091

Prime Factorization of 73811

Prime factors of 73811 are 31, 2381. Prime factorization of 73811 in exponential form is:

73811 = 311 × 23811

Now multiplying the highest exponent prime factors to calculate the LCM of 73807 and 73811.

LCM(73807,73811) = 231 × 32091 × 311 × 23811
LCM(73807,73811) = 5447768477