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What is the Least Common Multiple of 74434 and 74441?

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 74434 and 74441 is 5540941394.

LCM(74434,74441) = 5540941394

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Least Common Multiple of 74434 and 74441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74434 and 74441, than apply into the LCM equation.

GCF(74434,74441) = 1
LCM(74434,74441) = ( 74434 × 74441) / 1
LCM(74434,74441) = 5540941394 / 1
LCM(74434,74441) = 5540941394

Least Common Multiple (LCM) of 74434 and 74441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74434 and 74441. First we will calculate the prime factors of 74434 and 74441.

Prime Factorization of 74434

Prime factors of 74434 are 2, 37217. Prime factorization of 74434 in exponential form is:

74434 = 21 × 372171

Prime Factorization of 74441

Prime factors of 74441 are 74441. Prime factorization of 74441 in exponential form is:

74441 = 744411

Now multiplying the highest exponent prime factors to calculate the LCM of 74434 and 74441.

LCM(74434,74441) = 21 × 372171 × 744411
LCM(74434,74441) = 5540941394