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What is the Least Common Multiple of 74481 and 74490?

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 74481 and 74490 is 1849363230.

LCM(74481,74490) = 1849363230

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Least Common Multiple of 74481 and 74490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74481 and 74490, than apply into the LCM equation.

GCF(74481,74490) = 3
LCM(74481,74490) = ( 74481 × 74490) / 3
LCM(74481,74490) = 5548089690 / 3
LCM(74481,74490) = 1849363230

Least Common Multiple (LCM) of 74481 and 74490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74481 and 74490. First we will calculate the prime factors of 74481 and 74490.

Prime Factorization of 74481

Prime factors of 74481 are 3, 11, 37, 61. Prime factorization of 74481 in exponential form is:

74481 = 31 × 111 × 371 × 611

Prime Factorization of 74490

Prime factors of 74490 are 2, 3, 5, 13, 191. Prime factorization of 74490 in exponential form is:

74490 = 21 × 31 × 51 × 131 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 74481 and 74490.

LCM(74481,74490) = 31 × 111 × 371 × 611 × 21 × 51 × 131 × 1911
LCM(74481,74490) = 1849363230