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What is the Least Common Multiple of 73363 and 73379?

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 73363 and 73379 is 5383303577.

LCM(73363,73379) = 5383303577

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Least Common Multiple of 73363 and 73379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73363 and 73379, than apply into the LCM equation.

GCF(73363,73379) = 1
LCM(73363,73379) = ( 73363 × 73379) / 1
LCM(73363,73379) = 5383303577 / 1
LCM(73363,73379) = 5383303577

Least Common Multiple (LCM) of 73363 and 73379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73363 and 73379. First we will calculate the prime factors of 73363 and 73379.

Prime Factorization of 73363

Prime factors of 73363 are 73363. Prime factorization of 73363 in exponential form is:

73363 = 733631

Prime Factorization of 73379

Prime factors of 73379 are 73379. Prime factorization of 73379 in exponential form is:

73379 = 733791

Now multiplying the highest exponent prime factors to calculate the LCM of 73363 and 73379.

LCM(73363,73379) = 733631 × 733791
LCM(73363,73379) = 5383303577