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What is the Least Common Multiple of 93440 and 93458?

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 93440 and 93458 is 4366357760.

LCM(93440,93458) = 4366357760

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Least Common Multiple of 93440 and 93458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93440 and 93458, than apply into the LCM equation.

GCF(93440,93458) = 2
LCM(93440,93458) = ( 93440 × 93458) / 2
LCM(93440,93458) = 8732715520 / 2
LCM(93440,93458) = 4366357760

Least Common Multiple (LCM) of 93440 and 93458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93440 and 93458. First we will calculate the prime factors of 93440 and 93458.

Prime Factorization of 93440

Prime factors of 93440 are 2, 5, 73. Prime factorization of 93440 in exponential form is:

93440 = 28 × 51 × 731

Prime Factorization of 93458

Prime factors of 93458 are 2, 83, 563. Prime factorization of 93458 in exponential form is:

93458 = 21 × 831 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 93440 and 93458.

LCM(93440,93458) = 28 × 51 × 731 × 831 × 5631
LCM(93440,93458) = 4366357760