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What is the Least Common Multiple of 92450 and 92470?

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 92450 and 92470 is 854885150.

LCM(92450,92470) = 854885150

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Least Common Multiple of 92450 and 92470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92450 and 92470, than apply into the LCM equation.

GCF(92450,92470) = 10
LCM(92450,92470) = ( 92450 × 92470) / 10
LCM(92450,92470) = 8548851500 / 10
LCM(92450,92470) = 854885150

Least Common Multiple (LCM) of 92450 and 92470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92450 and 92470. First we will calculate the prime factors of 92450 and 92470.

Prime Factorization of 92450

Prime factors of 92450 are 2, 5, 43. Prime factorization of 92450 in exponential form is:

92450 = 21 × 52 × 432

Prime Factorization of 92470

Prime factors of 92470 are 2, 5, 7, 1321. Prime factorization of 92470 in exponential form is:

92470 = 21 × 51 × 71 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 92450 and 92470.

LCM(92450,92470) = 21 × 52 × 432 × 71 × 13211
LCM(92450,92470) = 854885150