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What is the Least Common Multiple of 54645 and 54658?

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 54658 is 2986786410.

LCM(54645,54658) = 2986786410

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Least Common Multiple of 54645 and 54658 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 54658, than apply into the LCM equation.

GCF(54645,54658) = 1
LCM(54645,54658) = ( 54645 × 54658) / 1
LCM(54645,54658) = 2986786410 / 1
LCM(54645,54658) = 2986786410

Least Common Multiple (LCM) of 54645 and 54658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54645 and 54658. First we will calculate the prime factors of 54645 and 54658.

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 54658

Prime factors of 54658 are 2, 27329. Prime factorization of 54658 in exponential form is:

54658 = 21 × 273291

Now multiplying the highest exponent prime factors to calculate the LCM of 54645 and 54658.

LCM(54645,54658) = 31 × 51 × 36431 × 21 × 273291
LCM(54645,54658) = 2986786410