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What is the Least Common Multiple of 54033 and 54042?

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 54033 and 54042 is 973350462.

LCM(54033,54042) = 973350462

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Least Common Multiple of 54033 and 54042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54033 and 54042, than apply into the LCM equation.

GCF(54033,54042) = 3
LCM(54033,54042) = ( 54033 × 54042) / 3
LCM(54033,54042) = 2920051386 / 3
LCM(54033,54042) = 973350462

Least Common Multiple (LCM) of 54033 and 54042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54033 and 54042. First we will calculate the prime factors of 54033 and 54042.

Prime Factorization of 54033

Prime factors of 54033 are 3, 7, 31, 83. Prime factorization of 54033 in exponential form is:

54033 = 31 × 71 × 311 × 831

Prime Factorization of 54042

Prime factors of 54042 are 2, 3, 9007. Prime factorization of 54042 in exponential form is:

54042 = 21 × 31 × 90071

Now multiplying the highest exponent prime factors to calculate the LCM of 54033 and 54042.

LCM(54033,54042) = 31 × 71 × 311 × 831 × 21 × 90071
LCM(54033,54042) = 973350462