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What is the Least Common Multiple of 88433 and 88450?

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 88433 and 88450 is 7821898850.

LCM(88433,88450) = 7821898850

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Least Common Multiple of 88433 and 88450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88433 and 88450, than apply into the LCM equation.

GCF(88433,88450) = 1
LCM(88433,88450) = ( 88433 × 88450) / 1
LCM(88433,88450) = 7821898850 / 1
LCM(88433,88450) = 7821898850

Least Common Multiple (LCM) of 88433 and 88450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88433 and 88450. First we will calculate the prime factors of 88433 and 88450.

Prime Factorization of 88433

Prime factors of 88433 are 191, 463. Prime factorization of 88433 in exponential form is:

88433 = 1911 × 4631

Prime Factorization of 88450

Prime factors of 88450 are 2, 5, 29, 61. Prime factorization of 88450 in exponential form is:

88450 = 21 × 52 × 291 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 88433 and 88450.

LCM(88433,88450) = 1911 × 4631 × 21 × 52 × 291 × 611
LCM(88433,88450) = 7821898850