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What is the Least Common Multiple of 18435 and 18450?

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 18435 and 18450 is 22675050.

LCM(18435,18450) = 22675050

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Least Common Multiple of 18435 and 18450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18435 and 18450, than apply into the LCM equation.

GCF(18435,18450) = 15
LCM(18435,18450) = ( 18435 × 18450) / 15
LCM(18435,18450) = 340125750 / 15
LCM(18435,18450) = 22675050

Least Common Multiple (LCM) of 18435 and 18450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18435 and 18450. First we will calculate the prime factors of 18435 and 18450.

Prime Factorization of 18435

Prime factors of 18435 are 3, 5, 1229. Prime factorization of 18435 in exponential form is:

18435 = 31 × 51 × 12291

Prime Factorization of 18450

Prime factors of 18450 are 2, 3, 5, 41. Prime factorization of 18450 in exponential form is:

18450 = 21 × 32 × 52 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 18435 and 18450.

LCM(18435,18450) = 32 × 52 × 12291 × 21 × 411
LCM(18435,18450) = 22675050