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What is the Least Common Multiple of 94462 and 94481?

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 94462 and 94481 is 8924864222.

LCM(94462,94481) = 8924864222

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Least Common Multiple of 94462 and 94481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94462 and 94481, than apply into the LCM equation.

GCF(94462,94481) = 1
LCM(94462,94481) = ( 94462 × 94481) / 1
LCM(94462,94481) = 8924864222 / 1
LCM(94462,94481) = 8924864222

Least Common Multiple (LCM) of 94462 and 94481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94462 and 94481. First we will calculate the prime factors of 94462 and 94481.

Prime Factorization of 94462

Prime factors of 94462 are 2, 73, 647. Prime factorization of 94462 in exponential form is:

94462 = 21 × 731 × 6471

Prime Factorization of 94481

Prime factors of 94481 are 107, 883. Prime factorization of 94481 in exponential form is:

94481 = 1071 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 94462 and 94481.

LCM(94462,94481) = 21 × 731 × 6471 × 1071 × 8831
LCM(94462,94481) = 8924864222