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What is the Least Common Multiple of 74217 and 74232?

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 74217 and 74232 is 1836425448.

LCM(74217,74232) = 1836425448

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Least Common Multiple of 74217 and 74232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74217 and 74232, than apply into the LCM equation.

GCF(74217,74232) = 3
LCM(74217,74232) = ( 74217 × 74232) / 3
LCM(74217,74232) = 5509276344 / 3
LCM(74217,74232) = 1836425448

Least Common Multiple (LCM) of 74217 and 74232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74217 and 74232. First we will calculate the prime factors of 74217 and 74232.

Prime Factorization of 74217

Prime factors of 74217 are 3, 11, 13, 173. Prime factorization of 74217 in exponential form is:

74217 = 31 × 111 × 131 × 1731

Prime Factorization of 74232

Prime factors of 74232 are 2, 3, 1031. Prime factorization of 74232 in exponential form is:

74232 = 23 × 32 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 74217 and 74232.

LCM(74217,74232) = 32 × 111 × 131 × 1731 × 23 × 10311
LCM(74217,74232) = 1836425448