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What is the Least Common Multiple of 54626 and 54643?

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 54626 and 54643 is 2984928518.

LCM(54626,54643) = 2984928518

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Least Common Multiple of 54626 and 54643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54626 and 54643, than apply into the LCM equation.

GCF(54626,54643) = 1
LCM(54626,54643) = ( 54626 × 54643) / 1
LCM(54626,54643) = 2984928518 / 1
LCM(54626,54643) = 2984928518

Least Common Multiple (LCM) of 54626 and 54643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54626 and 54643. First we will calculate the prime factors of 54626 and 54643.

Prime Factorization of 54626

Prime factors of 54626 are 2, 11, 13, 191. Prime factorization of 54626 in exponential form is:

54626 = 21 × 111 × 131 × 1911

Prime Factorization of 54643

Prime factors of 54643 are 53, 1031. Prime factorization of 54643 in exponential form is:

54643 = 531 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 54626 and 54643.

LCM(54626,54643) = 21 × 111 × 131 × 1911 × 531 × 10311
LCM(54626,54643) = 2984928518