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What is the Least Common Multiple of 92420 and 92438?

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 92420 and 92438 is 4271559980.

LCM(92420,92438) = 4271559980

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Least Common Multiple of 92420 and 92438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92420 and 92438, than apply into the LCM equation.

GCF(92420,92438) = 2
LCM(92420,92438) = ( 92420 × 92438) / 2
LCM(92420,92438) = 8543119960 / 2
LCM(92420,92438) = 4271559980

Least Common Multiple (LCM) of 92420 and 92438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92420 and 92438. First we will calculate the prime factors of 92420 and 92438.

Prime Factorization of 92420

Prime factors of 92420 are 2, 5, 4621. Prime factorization of 92420 in exponential form is:

92420 = 22 × 51 × 46211

Prime Factorization of 92438

Prime factors of 92438 are 2, 46219. Prime factorization of 92438 in exponential form is:

92438 = 21 × 462191

Now multiplying the highest exponent prime factors to calculate the LCM of 92420 and 92438.

LCM(92420,92438) = 22 × 51 × 46211 × 462191
LCM(92420,92438) = 4271559980