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What is the Least Common Multiple of 54645 and 54654?

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 54645 and 54654 is 995522610.

LCM(54645,54654) = 995522610

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Least Common Multiple of 54645 and 54654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54645 and 54654, than apply into the LCM equation.

GCF(54645,54654) = 3
LCM(54645,54654) = ( 54645 × 54654) / 3
LCM(54645,54654) = 2986567830 / 3
LCM(54645,54654) = 995522610

Least Common Multiple (LCM) of 54645 and 54654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54645 and 54654. First we will calculate the prime factors of 54645 and 54654.

Prime Factorization of 54645

Prime factors of 54645 are 3, 5, 3643. Prime factorization of 54645 in exponential form is:

54645 = 31 × 51 × 36431

Prime Factorization of 54654

Prime factors of 54654 are 2, 3, 9109. Prime factorization of 54654 in exponential form is:

54654 = 21 × 31 × 91091

Now multiplying the highest exponent prime factors to calculate the LCM of 54645 and 54654.

LCM(54645,54654) = 31 × 51 × 36431 × 21 × 91091
LCM(54645,54654) = 995522610