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What is the Least Common Multiple of 54054 and 54065?

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 54054 and 54065 is 265675410.

LCM(54054,54065) = 265675410

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Least Common Multiple of 54054 and 54065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54054 and 54065, than apply into the LCM equation.

GCF(54054,54065) = 11
LCM(54054,54065) = ( 54054 × 54065) / 11
LCM(54054,54065) = 2922429510 / 11
LCM(54054,54065) = 265675410

Least Common Multiple (LCM) of 54054 and 54065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54054 and 54065. First we will calculate the prime factors of 54054 and 54065.

Prime Factorization of 54054

Prime factors of 54054 are 2, 3, 7, 11, 13. Prime factorization of 54054 in exponential form is:

54054 = 21 × 33 × 71 × 111 × 131

Prime Factorization of 54065

Prime factors of 54065 are 5, 11, 983. Prime factorization of 54065 in exponential form is:

54065 = 51 × 111 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 54054 and 54065.

LCM(54054,54065) = 21 × 33 × 71 × 111 × 131 × 51 × 9831
LCM(54054,54065) = 265675410