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What is the Least Common Multiple of 74448 and 74454?

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 74448 and 74454 is 923825232.

LCM(74448,74454) = 923825232

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Least Common Multiple of 74448 and 74454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74448 and 74454, than apply into the LCM equation.

GCF(74448,74454) = 6
LCM(74448,74454) = ( 74448 × 74454) / 6
LCM(74448,74454) = 5542951392 / 6
LCM(74448,74454) = 923825232

Least Common Multiple (LCM) of 74448 and 74454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74448 and 74454. First we will calculate the prime factors of 74448 and 74454.

Prime Factorization of 74448

Prime factors of 74448 are 2, 3, 11, 47. Prime factorization of 74448 in exponential form is:

74448 = 24 × 32 × 111 × 471

Prime Factorization of 74454

Prime factors of 74454 are 2, 3, 12409. Prime factorization of 74454 in exponential form is:

74454 = 21 × 31 × 124091

Now multiplying the highest exponent prime factors to calculate the LCM of 74448 and 74454.

LCM(74448,74454) = 24 × 32 × 111 × 471 × 124091
LCM(74448,74454) = 923825232