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What is the Least Common Multiple of 94019 and 94033?

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 94019 and 94033 is 8840888627.

LCM(94019,94033) = 8840888627

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Least Common Multiple of 94019 and 94033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94019 and 94033, than apply into the LCM equation.

GCF(94019,94033) = 1
LCM(94019,94033) = ( 94019 × 94033) / 1
LCM(94019,94033) = 8840888627 / 1
LCM(94019,94033) = 8840888627

Least Common Multiple (LCM) of 94019 and 94033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94019 and 94033. First we will calculate the prime factors of 94019 and 94033.

Prime Factorization of 94019

Prime factors of 94019 are 149, 631. Prime factorization of 94019 in exponential form is:

94019 = 1491 × 6311

Prime Factorization of 94033

Prime factors of 94033 are 94033. Prime factorization of 94033 in exponential form is:

94033 = 940331

Now multiplying the highest exponent prime factors to calculate the LCM of 94019 and 94033.

LCM(94019,94033) = 1491 × 6311 × 940331
LCM(94019,94033) = 8840888627