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What is the Least Common Multiple of 54036 and 54043?

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 54036 and 54043 is 2920267548.

LCM(54036,54043) = 2920267548

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Least Common Multiple of 54036 and 54043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54036 and 54043, than apply into the LCM equation.

GCF(54036,54043) = 1
LCM(54036,54043) = ( 54036 × 54043) / 1
LCM(54036,54043) = 2920267548 / 1
LCM(54036,54043) = 2920267548

Least Common Multiple (LCM) of 54036 and 54043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54036 and 54043. First we will calculate the prime factors of 54036 and 54043.

Prime Factorization of 54036

Prime factors of 54036 are 2, 3, 19, 79. Prime factorization of 54036 in exponential form is:

54036 = 22 × 32 × 191 × 791

Prime Factorization of 54043

Prime factors of 54043 are 11, 17. Prime factorization of 54043 in exponential form is:

54043 = 111 × 173

Now multiplying the highest exponent prime factors to calculate the LCM of 54036 and 54043.

LCM(54036,54043) = 22 × 32 × 191 × 791 × 111 × 173
LCM(54036,54043) = 2920267548