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What is the Least Common Multiple of 62023 and 62033?

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 62023 and 62033 is 3847472759.

LCM(62023,62033) = 3847472759

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Least Common Multiple of 62023 and 62033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62023 and 62033, than apply into the LCM equation.

GCF(62023,62033) = 1
LCM(62023,62033) = ( 62023 × 62033) / 1
LCM(62023,62033) = 3847472759 / 1
LCM(62023,62033) = 3847472759

Least Common Multiple (LCM) of 62023 and 62033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62023 and 62033. First we will calculate the prime factors of 62023 and 62033.

Prime Factorization of 62023

Prime factors of 62023 are 13, 367. Prime factorization of 62023 in exponential form is:

62023 = 132 × 3671

Prime Factorization of 62033

Prime factors of 62033 are 17, 41, 89. Prime factorization of 62033 in exponential form is:

62033 = 171 × 411 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 62023 and 62033.

LCM(62023,62033) = 132 × 3671 × 171 × 411 × 891
LCM(62023,62033) = 3847472759