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What is the Least Common Multiple of 73907 and 73927?

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 73907 and 73927 is 5463722789.

LCM(73907,73927) = 5463722789

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Least Common Multiple of 73907 and 73927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73907 and 73927, than apply into the LCM equation.

GCF(73907,73927) = 1
LCM(73907,73927) = ( 73907 × 73927) / 1
LCM(73907,73927) = 5463722789 / 1
LCM(73907,73927) = 5463722789

Least Common Multiple (LCM) of 73907 and 73927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73907 and 73927. First we will calculate the prime factors of 73907 and 73927.

Prime Factorization of 73907

Prime factors of 73907 are 73907. Prime factorization of 73907 in exponential form is:

73907 = 739071

Prime Factorization of 73927

Prime factors of 73927 are 7, 59, 179. Prime factorization of 73927 in exponential form is:

73927 = 71 × 591 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 73907 and 73927.

LCM(73907,73927) = 739071 × 71 × 591 × 1791
LCM(73907,73927) = 5463722789