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What is the Least Common Multiple of 54514 and 54533?

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 54514 and 54533 is 2972811962.

LCM(54514,54533) = 2972811962

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Least Common Multiple of 54514 and 54533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54514 and 54533, than apply into the LCM equation.

GCF(54514,54533) = 1
LCM(54514,54533) = ( 54514 × 54533) / 1
LCM(54514,54533) = 2972811962 / 1
LCM(54514,54533) = 2972811962

Least Common Multiple (LCM) of 54514 and 54533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54514 and 54533. First we will calculate the prime factors of 54514 and 54533.

Prime Factorization of 54514

Prime factors of 54514 are 2, 97, 281. Prime factorization of 54514 in exponential form is:

54514 = 21 × 971 × 2811

Prime Factorization of 54533

Prime factors of 54533 are 23, 2371. Prime factorization of 54533 in exponential form is:

54533 = 231 × 23711

Now multiplying the highest exponent prime factors to calculate the LCM of 54514 and 54533.

LCM(54514,54533) = 21 × 971 × 2811 × 231 × 23711
LCM(54514,54533) = 2972811962