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What is the Least Common Multiple of 83033 and 83050?

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 83033 and 83050 is 6895890650.

LCM(83033,83050) = 6895890650

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Least Common Multiple of 83033 and 83050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83033 and 83050, than apply into the LCM equation.

GCF(83033,83050) = 1
LCM(83033,83050) = ( 83033 × 83050) / 1
LCM(83033,83050) = 6895890650 / 1
LCM(83033,83050) = 6895890650

Least Common Multiple (LCM) of 83033 and 83050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83033 and 83050. First we will calculate the prime factors of 83033 and 83050.

Prime Factorization of 83033

Prime factors of 83033 are 43, 1931. Prime factorization of 83033 in exponential form is:

83033 = 431 × 19311

Prime Factorization of 83050

Prime factors of 83050 are 2, 5, 11, 151. Prime factorization of 83050 in exponential form is:

83050 = 21 × 52 × 111 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 83033 and 83050.

LCM(83033,83050) = 431 × 19311 × 21 × 52 × 111 × 1511
LCM(83033,83050) = 6895890650