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What is the Least Common Multiple of 74656 and 74662?

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 74656 and 74662 is 2786983136.

LCM(74656,74662) = 2786983136

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Least Common Multiple of 74656 and 74662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74656 and 74662, than apply into the LCM equation.

GCF(74656,74662) = 2
LCM(74656,74662) = ( 74656 × 74662) / 2
LCM(74656,74662) = 5573966272 / 2
LCM(74656,74662) = 2786983136

Least Common Multiple (LCM) of 74656 and 74662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74656 and 74662. First we will calculate the prime factors of 74656 and 74662.

Prime Factorization of 74656

Prime factors of 74656 are 2, 2333. Prime factorization of 74656 in exponential form is:

74656 = 25 × 23331

Prime Factorization of 74662

Prime factors of 74662 are 2, 7, 5333. Prime factorization of 74662 in exponential form is:

74662 = 21 × 71 × 53331

Now multiplying the highest exponent prime factors to calculate the LCM of 74656 and 74662.

LCM(74656,74662) = 25 × 23331 × 71 × 53331
LCM(74656,74662) = 2786983136